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<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> <bR> <bR> </td> <td valign="top" height=432 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B>179</B></div> <div> <B>Ecuaciones Simultáneas de primer grado</B></div> <div> <B>Resolución de sistemas numéricos de dos ecuaciones enteras con dos incógnitas</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>P r o c e d i m i e n t o</B></div> <div> <FONT SIZE="4" COLOR="#FF6600" FACE="Bell MT" ><B>1.</B></FONT><FONT SIZE="4" COLOR="#990000" FACE="Bell MT" >  </FONT>Se llevan las ecuaciones a la forma <I>ax</I> + <I>by</I> = <I>c</I></div> <div> <B>2.</B><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >  Se halla el M.C.M (mínimo común múltiplo) de los coeficientes de alguna de las incógnitas </FONT></div> <div> <B>3.</B><FONT SIZE="4" COLOR="#FFCC66" FACE="Bell MT" ><B> </B></FONT><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" > Dividimos el M.C.M por cada uno de los coeficientes de la letra escogida y el cociente lo multiplicams por dicho coeficiente</FONT></div> <div> <B>4.</B><FONT SIZE="4" COLOR="#FFCC66" FACE="Bell MT" > </FONT><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" > Se suman o restan las ecuaciones, dependiendo de si los coeficientes tienen diferente signo o igual signo</FONT></div> <div> <B>5.</B><FONT SIZE="4" COLOR="#990000" FACE="Bell MT" ><B> </B></FONT><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" > Se despeja la incógnita de la ecuación resultante</FONT></div> <div> <B>6.</B><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >  Se sustituye el valor numérico de la incógnita, obtenido en el paso anterior, en cualquiera de las dos ecuaciones originales </FONT></div> <div> <B>7.</B><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >  Se halla el valor de la segunda incógnita</FONT></div> <div> <FONT SIZE="4" COLOR="#FF6600" FACE="Bell MT" ><B>Nota1:</B></FONT> la simbología utilizada para denotar el mínimo común múltiplo, <I>c</I>,  de los dos números, <I>a</I> y <I>b</I>, es la siguiente: <FONT SIZE="4" COLOR="#FF6600" FACE="Bell MT" >[<I>a</I>, <I>b</I>] = <I>c</I></FONT><I>.</I></div> <DIV ALIGN="LEFT"></DIV> <div> <B>Enunciados</B></div> <div> <B>R</B><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >esolver los siguientes sistemas de ecuaciones 2x2:</FONT></div> <div> <FONT SIZE="3" COLOR="#00CC00" FACE="Times New Roman" ><B><IMG SRC="61a988350.gif" border=0 width="136" height="53" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></FONT><A HREF="http://youtu.be/lKXCtKXnCTU" TARGET="_top" TITLE="http://youtu.be/lKXCtKXnCTU"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>      <IMG SRC="61ab81350.gif" border=0 width="129" height="53" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="http://youtu.be/XGw7eeOvx2Q" TARGET="_top" TITLE="http://youtu.be/XGw7eeOvx2Q"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <FONT SIZE="3" COLOR="#00CC00" FACE="Times New Roman" ><B><IMG SRC="61aa88350.gif" border=0 width="136" height="53" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></FONT><A HREF="http://youtu.be/aOuC5TE6mEI" TARGET="_top" TITLE="http://youtu.be/aOuC5TE6mEI"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>      <IMG SRC="61ac94350.gif" border=0 width="148" height="53" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="http://youtu.be/GtrHOAUk25o" TARGET="_top" TITLE="http://youtu.be/GtrHOAUk25o"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <IMG SRC="61adbb3b0.gif" border=0 width="187" height="59" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="http://youtu.be/4dH8bplyxek" TARGET="_top" TITLE="http://youtu.be/4dH8bplyxek"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>      <IMG SRC="61aef33b0.gif" border=0 width="243" height="59" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="http://youtu.be/fVwUEXlgwJ0" TARGET="_top" TITLE="http://youtu.be/fVwUEXlgwJ0"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <IMG SRC="61af243b0.gif" border=0 width="292" height="59" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="http://youtu.be/a1yVZeogwNk" TARGET="_top" TITLE="http://youtu.be/a1yVZeogwNk"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>     <IMG SRC="61b0dc3b0.gif" border=0 width="220" height="59" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="http://youtu.be/HHes8vn8wSw" TARGET="_top" TITLE="http://youtu.be/HHes8vn8wSw"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <IMG SRC="61b1bc3b0.gif" border=0 width="188" height="59" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <A HREF="http://youtu.be/8I9oCbhT4Y8" TARGET="_top" TITLE="http://youtu.be/8I9oCbhT4Y8"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>      <IMG SRC="61b2cd3b0.gif" border=0 width="205" height="59" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="http://youtu.be/VPkhJY1JnGw" TARGET="_top" TITLE="http://youtu.be/VPkhJY1JnGw"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>      </div> <div>  <IMG SRC="61b3283b0.gif" border=0 width="296" height="59" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="http://youtu.be/LN4bKQCOPSs" TARGET="_top" TITLE="http://youtu.be/LN4bKQCOPSs"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>      <IMG SRC="61b4e03b0.gif" border=0 width="224" height="59" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="http://youtu.be/Psy0tQHha9U" TARGET="_top" TITLE="http://youtu.be/Psy0tQHha9U"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <DIV ALIGN="LEFT"></DIV> <div> <B>Soluciones</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="60c017900.gif" border=0 width="535" height="400" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></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="60d955880.gif" border=0 width="597" height="392" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></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> <IMG SRC="60c140850.gif" border=0 width="576" height="389" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></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> <IMG SRC="60c228a00.gif" border=0 width="552" height="416" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <bR> <DIV 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