169

<body topmargin=0 leftmargin=0 marginheight=0 marginwidth=0> <table cellpadding=0 cellspacing=0 border=0><tr> <td valign="top" colspan=3 height=24 BGCOLOR="#003333" TEXT="#F7F7FF"> <div> <FONT SIZE="4" COLOR="#FFFFFF" FACE="Georgia" ><B>M</B></FONT><FONT SIZE="4" COLOR="#FFFFFF" FACE="Georgia" ><B>atemáticas de la U</B></FONT><B> (MatU)  | </B><A HREF="http://www.jcbmat.com/" TARGET="_top" TITLE="http://www.jcbmat.com/"><U><B>Home</B></U></A><B> | </B><A HREF="index.htm" TARGET="_top" TITLE="Álgebra de Baldor"><U><B>Algebra de Baldor</B></U></A><B> |  </B><A HREF="id1076.htm" TARGET="_top" TITLE="Índice temático"><U><B>Índice temático</B></U></A><B>  |  </B><A HREF="id1073.htm" TARGET="_top" TITLE="Lista"><U><B>Lista de Ejercicios</B></U></A><B> |</B></div> </td> </tr><tr> <td valign="top" rowspan="2" width=165 BGCOLOR="#FFFFFF" TEXT="#080000"> <bR> <div> <B> <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:160px;height:600px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="3073775660"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </B></div> </td> <td valign="top" height=432 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B>169</B></div> <div> <B>Representación gráfica de la función lineal de primer grado</B></div> <bR> <div>  <script async src="https://pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:970px;height:250px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="8553279920"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> <bR> <div> <B> <TABLE BORDER="2" CELLPADDING="2" CELLSPACING="1" WIDTH="681" BORDERCOLORLIGHT="#33FFFF" BORDERCOLORDARK="#3300CC" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 114 WIDTH="669"><div> <B>P r o c e d i m i e n t o</B></div> <div> <B>1.</B><FONT SIZE="3" COLOR="#0000FF" FACE="Times New Roman" ><B>  </B></FONT><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" >Se despeja la función</FONT></div> <div> <B>2.</B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" >  Se construye una tabla de valores (basta con dos pares)</FONT></div> <div> <FONT SIZE="3" COLOR="#FF9900" FACE="Times New Roman" ><B>3.</B></FONT>  Se ubican dichos puntos en el  plano cartesiano (tomando los valores correspondientes a la variable independiente <I>x</I> como abscisas y a los de la función <I>y</I> como ordenadas)</div> <div> <B>4.</B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" >  Se unen los puntos por una línea recta, prolongándola de tal modo que esté representada en todo el plano</FONT></div> </tD> </tR> </TABLE></B></div> <bR> <div> <B>R</B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" >epresentar gráficamente las funciones:</FONT></div> <div>  <A NAME="1"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>1.</B></FONT>  <I>y = x</I>. </div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 208 ><NOBR><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="219" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -2</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0 </div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 2</div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -2</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 2</div> </tD> </tR> </TABLE></div> <bR> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="6008cbc90.gif" border=0 width="203" height="201" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="2"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>2</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>2.</B></FONT> <I> y = -2x</I></div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 208 ><NOBR><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="219" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -1</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0 </div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 1</div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 2</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -2</div> </tD> </tR> </TABLE></div> <bR> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="6009cbc90.gif" border=0 width="203" height="201" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="3"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>3</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>3.</B></FONT>  <I>y = x + 2</I></div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -2</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0 </div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 2</div> </tD> </tR> </TABLE></div> <div> Es aconsejable hallar los interceptos con los ejes.</div> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="600ac8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="4"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>4</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>4.</B></FONT>  <I>y = x - 3</I></div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 3 </div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -3</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> </tR> </TABLE></div> <div> Es aconsejable hallar los interceptos con los ejes.</div> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="600bc8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="5"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>5</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>5. </B></FONT> <I>x + 4</I></div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -4</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0 </div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 4</div> </tD> </tR> </TABLE></div> <div> Es aconsejable hallar los interceptos con los ejes.</div> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="600cc8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="6"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>6</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>6.</B></FONT>  <I>y = 3x + 3</I></div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -1</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0 </div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 3</div> </tD> </tR> </TABLE></div> <div> Es aconsejable hallar los interceptos con los ejes.</div> <div> Las escalas para los ejes pueden ser diferentes (con el objeto de que la gráfica quede bien distribuida en el plano)</div> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="600dc8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="7"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>7</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>7.</B></FONT>  <I>y = 2x - 4</I></div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 2 </div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -4</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> </tR> </TABLE></div> <div> Es aconsejable hallar los interceptos con los ejes.</div> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="600ec8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="8"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>8</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>8.</B></FONT>  <I>y = 3x + 6</I></div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -2</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0 </div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 6</div> </tD> </tR> </TABLE></div> <div> Es aconsejable hallar los interceptos con los ejes.</div> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="600fc8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="9"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>9</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>9. </B></FONT> <I>y = 4x + 5</I></div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -2</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0 </div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -3</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 5</div> </tD> </tR> </TABLE></div> <bR> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="6010c8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="10"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>10</div> <div> <B>10.  </B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" ><I>y = -2x + 4</I></FONT></div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 2 </div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 4</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> </tR> </TABLE></div> <div> Es importante hallar los interceptos con los ejes.</div> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="6012c8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="11"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>11</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>11.</B></FONT>  <I>y = -2x - 4</I></div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -2</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0 </div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -4</div> </tD> </tR> </TABLE></div> <div> Es aconsejable hallar los interceptos con los ejes.</div> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="6011c8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="12"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>12</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>12. </B></FONT> <I>y = x - 3</I></div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -2</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0 </div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -4</div> </tD> </tR> </TABLE></div> <div> Es importante hallar los interceptos con los ejes.</div> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="6013c8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="13"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>13</div> <div> <B>13. </B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" ><I> y = 8 - 3x</I></FONT></div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -2</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0 </div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -4</div> </tD> </tR> </TABLE></div> <div> Es importante hallar los interceptos con los ejes.</div> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="6014c8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="14"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>14</div> <div> <IMG SRC="60155f400.gif" border=0 width="95" height="64" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 ><NOBR><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="219" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -4</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 4</div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -5</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 5</div> </tD> </tR> </TABLE></div> <bR> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="6016c8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="15"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>15</div> <div> <IMG SRC="60175f400.gif" border=0 width="95" height="64" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -6</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 3</div> </tD> </tR> </TABLE></div> <div> Es importante hallar los interceptos con los ejes.</div> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="6018c8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="16"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>16</div> <div> <IMG SRC="601961400.gif" border=0 width="97" height="64" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 9</div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -3</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 9</div> </tD> </tR> </TABLE></div> <div> Es importante hallar los interceptos con los ejes.</div> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="601ac8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="17"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>17</div> <div> <IMG SRC="601b64400.gif" border=0 width="100" height="64" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 2</div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -2</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 3</div> </tD> </tR> </TABLE></div> <div> Es importante hallar los interceptos con los ejes.</div> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="601cc8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="18"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>18</div> <div> <IMG SRC="601d61400.gif" border=0 width="97" height="64" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -8</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 4</div> </tD> </tR> </TABLE></div> <div> Es importante hallar los interceptos con los ejes.</div> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="601ec8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div> <FONT SIZE="3" COLOR="#009900" FACE="Times New Roman" ><B>R</B></FONT>epresentar gráficamente las siguientes funciones siendo y la variable dependiente</div> <div>  <A NAME="19"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>19</div> <div> <B>19.  </B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" ><I>x + y = 0</I></FONT></div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 ><NOBR><div> <B><IMG SRC="601f692d0.gif" border=0 width="105" height="45" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </B></div> <div> <B>     </B></div> <div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="219" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -2</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 2</div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 2</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -2</div> </tD> </tR> </TABLE></div> <div> <B>    </B></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="6020c8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="20"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>20</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>20.</B></FONT>  <I>2x =3y</I></div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 ><NOBR><div> <IMG SRC="602161590.gif" border=0 width="97" height="89" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="219" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -3</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 3</div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -2</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 2</div> </tD> </tR> </TABLE></div> <bR> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="6022c8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="21"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>21</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>21.</B></FONT> <I> 2x + y = 10</I></div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <IMG SRC="6023782d0.gif" border=0 width="120" height="45" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 5</div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 10</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> </tR> </TABLE></div> <bR> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="6024c8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="22"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>22</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>22.</B></FONT>  3<I>y = </I>4<I>x + </I>5</div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <IMG SRC="60257b400.gif" border=0 width="123" height="64" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 1</div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 5/3 </div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 3</div> </tD> </tR> </TABLE></div> <bR> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="6026c8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="23"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>23</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>23. </B></FONT> <I>4x + y = 8</I></div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <IMG SRC="6027732d0.gif" border=0 width="115" height="45" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 2</div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 8</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> </tR> </TABLE></div> <bR> <bR> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="6028c8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="24"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>24</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>24.</B></FONT>  <I>y + 5 = x</I></div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <IMG SRC="6029682d0.gif" border=0 width="104" height="45" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 5</div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -5</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> </tR> </TABLE></div> <bR> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="602ac8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="25"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>25</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>25.</B></FONT>  5<I>x</I> - <I>y</I> = 2</div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <IMG SRC="602b6f2d0.gif" border=0 width="111" height="45" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 1</div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -2</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 3</div> </tD> </tR> </TABLE></div> <bR> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="602cc8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div>  <A NAME="26"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>26</div> <div> <FONT SIZE="3" COLOR="#FF0000" FACE="Arial" ><B>26. </B></FONT> 2<I>x</I> = <I>y</I> -1</div> <div> <U>S o l u c i ó n</U> :</div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="553" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 207 WIDTH="271"><div> <IMG SRC="602d6d2d0.gif" border=0 width="109" height="45" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="165" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>x</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -1</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 0</div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 20 WIDTH="49"><div> <I><B>y</B></I></div> </tD> <tD VALIGN=TOP WIDTH="49"><div> -1</div> </tD> <tD VALIGN=TOP WIDTH="49"><div> 1</div> </tD> </tR> </TABLE></div> <bR> </tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="602ec8c80.gif" border=0 width="200" height="200" ALT="Imagen de mapa de bits" 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