document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140807>Question 140807</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the values of x and y that solve the following system of equations\r<BR>\n" );
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document.write( "-5x-7y=-1\r<BR>\n" );
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document.write( "2x+9y=-12<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102469 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=102469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -5x-7y=-1 ---------------------eq1<BR>\n" );
document.write( "2x+9y=-12----------------------eq2\r<BR>\n" );
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document.write( "multiply each term in eq1 by 2 and each term in eq2 by 5, then add the two equations:\r<BR>\n" );
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document.write( "-10x-14y=-2--------------------------eq1a<BR>\n" );
document.write( "10x+45y=-60------------------------------eq2a\r<BR>\n" );
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document.write( "adding the two equations, we get:\r<BR>\n" );
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document.write( "31y=-62  divide both sides by 31\r<BR>\n" );
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document.write( "y=-2---------------------------------------y value\r<BR>\n" );
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document.write( "substitute y=-2 into eq2\r<BR>\n" );
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document.write( "2x+9(-2)=-12<BR>\n" );
document.write( "2x-18=-12  add 18 to each sid\r<BR>\n" );
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document.write( "2x-18+18=-12+18  collect like terms\r<BR>\n" );
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document.write( "2x=6  divide each side by 2\r<BR>\n" );
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document.write( "x=3-----------------------------------x value\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "substitute the x and y values into eq1:<BR>\n" );
document.write( "(-5)(3)-(7)(-2)=-1\r<BR>\n" );
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document.write( "-15+14=-1<BR>\n" );
document.write( "-1=-1<BR>\n" );
document.write( "substitute the x and y values into eq2:\r<BR>\n" );
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document.write( "2(3)+9(-2)=-12<BR>\n" );
document.write( "6-18=-12<BR>\n" );
document.write( "-12=-12\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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