document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=490732>Question 490732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the solution set of the system of equations below?\r<BR>\n" );
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document.write( "2x+5y=8<BR>\n" );
document.write( "6x+4y=-20\r<BR>\n" );
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document.write( "(What I believe is you should do something with X since it has a common factor of 2 but I could be mistaken). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #334274 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=334274\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x+5y=8<BR>\n" );
document.write( "6x+4y=-20 <BR>\n" );
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document.write( "since the x-terms has a common factor, we can apply the \"addition method\" to eliminate it.  Multiply both sides of the top equation by -3, combine the two equations and solve for y:<BR>\n" );
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document.write( "-6x-15y=-24<BR>\n" );
document.write( " 6x+ 4y=-20<BR>\n" );
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document.write( "   -11y = -44<BR>\n" );
document.write( "      y = 4<BR>\n" );
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document.write( "substitute the value of y into the top equation and solve for x:<BR>\n" );
document.write( "2x+5y=8<BR>\n" );
document.write( "2x+5(4)=8<BR>\n" );
document.write( "2x+20=8<BR>\n" );
document.write( "2x = -12<BR>\n" );
document.write( "x = -6<BR>\n" );
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document.write( "solution: (x,y) = (-6, 4)<BR>\n" );
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