182

<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>182</B></div> <div> <B>Ecuaciones simultáneas con dos incógnitas</B></div> <div> <B>Ecuaciones simultáneas con incógnitas en los denominadores</B></div> <bR> <div>  <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:728px;height:90px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="5388515922"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> <bR> <div> <B>P r o c e d i m i e n t o</B></div> <bR> <div> <B>V</B><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >amos a mostrar un método especial en el que no hay necesidad de suprimir los denominadores para eliminar una de las incógnitas</FONT></div> <div> <B>1.</B><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >  Se ordenan y nombran las ecuaciones</FONT></div> <div> <B>2.</B><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >  Se multiplican las ecuaciones por números adecuados que hagan que los coeficientes de una de las incógnitas (la que se va a eliminar) sean iguales en ambas ecuaciones pero con signos opuestos</FONT></div> <div> <B>3.</B><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >  Se suman, término a término, las ecuaciones resultantes</FONT></div> <div> <B>4.</B><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >  Se despeja la incógnita que queda</FONT></div> <div> <B>5.</B><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >  Se sustituye el valor obtenido, en el paso anterior, para la incógnita, en una de las ecuaciones originales y se halla el valor de la segunda incógnita</FONT></div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <B>Enunciados de los ejercicios</B></div> <bR> <div> <B>R</B><FONT SIZE="4" COLOR="#000000" FACE="Georgia" >esolver los sistemas:</FONT></div> <div> <FONT SIZE="4" COLOR="#000000" FACE="Georgia" ><IMG SRC="71f5776c0.gif" border=0 width="119" height="108" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </FONT><A HREF="#1" TITLE="182"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A> <A HREF="https://youtu.be/RGrqTzjJ5kw?t=1m46s" TARGET="_top" TITLE="https://youtu.be/RGrqTzjJ5kw?t=1m46s"><U><IMG SRC="715b17180.jpg" border=0 width="23" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#000000" FACE="Georgia" >          <IMG SRC="71f6816c0.gif" border=0 width="129" height="108" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </FONT><A HREF="#2" TITLE="182"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A> <A HREF="https://youtu.be/RGrqTzjJ5kw?t=7m48s" TARGET="_top" TITLE="https://youtu.be/RGrqTzjJ5kw?t=7m48s"><U><IMG SRC="715b17180.jpg" border=0 width="23" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#000000" FACE="Georgia" >             <IMG SRC="71f7746c0.gif" border=0 width="116" height="108" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </FONT><A HREF="#3" TITLE="182"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A> <A HREF="https://youtu.be/pXOIyDvV6Iw?t=1m47s" TARGET="_top" TITLE="https://youtu.be/pXOIyDvV6Iw?t=1m47s"><U><IMG SRC="715b17180.jpg" border=0 width="23" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#000000" FACE="Georgia" >             <IMG SRC="71f8946c0.gif" border=0 width="148" height="108" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </FONT><A HREF="#4" TITLE="182"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A> <A HREF="https://youtu.be/pXOIyDvV6Iw?t=7m51s" TARGET="_top" TITLE="https://youtu.be/pXOIyDvV6Iw?t=7m51s"><U><IMG SRC="715b17180.jpg" border=0 width="23" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#000000" FACE="Georgia" >  </FONT></div> <div> <IMG SRC="71f97f6c0.gif" border=0 width="127" height="108" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/f3g6Zps7FDQ?t=1m44s" TARGET="_top" TITLE="https://youtu.be/f3g6Zps7FDQ?t=1m44s"><U><IMG SRC="715b17180.jpg" border=0 width="23" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>          <IMG SRC="71fa896c0.gif" border=0 width="137" height="108" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/f3g6Zps7FDQ?t=8m16s" TARGET="_top" TITLE="https://youtu.be/f3g6Zps7FDQ?t=8m16s"><U><IMG SRC="715b17180.jpg" border=0 width="23" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>          <IMG SRC="71fb906c0.gif" border=0 width="144" height="108" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/_nKhJ_a2Ldk?t=1m46s" TARGET="_top" TITLE="https://youtu.be/_nKhJ_a2Ldk?t=1m46s"><U><IMG SRC="715b17180.jpg" border=0 width="23" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>          <IMG SRC="71fc8c6c0.gif" border=0 width="140" height="108" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/_nKhJ_a2Ldk?t=8m28s" TARGET="_top" TITLE="https://youtu.be/_nKhJ_a2Ldk?t=8m28s"><U><IMG SRC="715b17180.jpg" border=0 width="23" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT> </div> <div> <IMG SRC="71fd9f6c0.gif" border=0 width="159" height="108" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/D4k_7NUZO64" TARGET="_top" TITLE="https://youtu.be/D4k_7NUZO64"><U><IMG SRC="715b17180.jpg" border=0 width="23" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>          <IMG SRC="71fe9f6c0.gif" border=0 width="159" height="108" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/TPy2DX1Krn4" TARGET="_top" TITLE="https://youtu.be/TPy2DX1Krn4"><U><IMG SRC="715b17180.jpg" border=0 width="23" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>          <IMG SRC="71ffa96c0.gif" border=0 width="169" height="108" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/ffaujuHz_Q8" TARGET="_top" TITLE="https://youtu.be/ffaujuHz_Q8"><U><IMG SRC="715b17180.jpg" border=0 width="23" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>          <IMG SRC="7200806c0.gif" border=0 width="128" height="108" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/3pt6A4csCuo" TARGET="_top" TITLE="https://youtu.be/3pt6A4csCuo"><U><IMG SRC="715b17180.jpg" border=0 width="23" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <div> <IMG SRC="7201ac6c0.gif" border=0 width="172" height="108" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/vQx4hx4pR0k" TARGET="_top" TITLE="https://youtu.be/vQx4hx4pR0k"><U><IMG SRC="715b17180.jpg" border=0 width="23" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>          <IMG SRC="7202a16c0.gif" border=0 width="161" height="108" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/B1BtUWGM-QY" TARGET="_top" TITLE="https://youtu.be/B1BtUWGM-QY"><U><IMG SRC="715b17180.jpg" border=0 width="23" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <B>Lista de reproducción del Ejercicio 182</B></div> <bR> <div> <B> <iframe width="853" height="480" src="https://www.youtube.com/embed/videoseries?list=PLq_SQwoOZHo3pJDzUI5m2alGLz-xlXzJX" frameborder="0" allowfullscreen></iframe>  </B></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> <IMG SRC="60c550c00.gif" border=0 width="848" height="704" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="2"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>2</div> <div> <IMG SRC="60c6cfc00.gif" border=0 width="719" height="704" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="3"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>3</div> <div> <IMG SRC="60c7d8c00.gif" border=0 width="728" height="704" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="4"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>4</div> <div> <IMG SRC="60c8ed8f0.gif" border=0 width="749" height="655" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <bR> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="http://twitter.com/Calculo21" TARGET="_top" TITLE="http://twitter.com/Calculo21"><U><IMG SRC="2fc828280.jpg" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><A HREF="http://www.facebook.com/juan.beltran.58511" TARGET="_top" TITLE="http://www.facebook.com/juan.beltran.585"><U><IMG SRC="76fa28280.gif" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><A HREF="https://www.youtube.com/user/MatematicaAplicadas" TARGET="_top" TITLE="https://www.youtube.com/user/MatematicaA"><U><IMG SRC="2fca28280.jpg" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <bR> <div> Por: <FONT SIZE="4" COLOR="#FF9900" FACE="Times New Roman" >Juan Carlos </FONT><FONT SIZE="4" COLOR="#0000FF" FACE="Times New Roman" >Beltrán</FONT> <FONT SIZE="4" COLOR="#FF0000" FACE="Times New Roman" >Beltrán </FONT></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> <A HREF="http://jcbmat.com/" TARGET="_top" TITLE="http://jcbmat.com/"><U><B><IMG 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