document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=439489>Question 439489</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please show me step by step how to solve the system by elimination method? <BR>\n" );
document.write( "5x+3y=-7<BR>\n" );
document.write( "7x-2y=13 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303764 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=303764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%285x%2B3y=-7%2C+7x-2y=13%29 ALIGN=MIDDLE  ALT=\"system%285x%2B3y=-7%2C+7x-2y=13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by elimination method:\r<BR>\n" );
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document.write( "Step 1. multiply the first equation by 2 and the second by 3 and we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%2810x%2B6y=-14%2C+21x-6y=39%29 ALIGN=MIDDLE  ALT=\"system%2810x%2B6y=-14%2C+21x-6y=39%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Step 2.Adding two equations we eliminate y: 31x=25 => x=25/31. We found x.\r<BR>\n" );
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document.write( "Step 3.Plugging x=25/31 in the first equation to find y:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2825%2F31%29%2B3y=-7 ALIGN=MIDDLE  ALT=\"5%2825%2F31%29%2B3y=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=-7-%28125%2F31%29 ALIGN=MIDDLE  ALT=\"3y=-7-%28125%2F31%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-342%2F93 ALIGN=MIDDLE  ALT=\"y=-342%2F93\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer:The solution of the system is: (25/31, 342/31) </SPAN>\n" );
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