document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59854>Question 59854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by any method\r<BR>\n" );
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document.write( "-4x+3y=2<BR>\n" );
document.write( "5x-2y=-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41079 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=41079\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by any method\r<BR>\n" );
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document.write( "E1: -4x+3y=2<BR>\n" );
document.write( "E2: 5x-2y=-3<BR>\n" );
document.write( "I'm going to use the elimination method in an attempt to avoid fractions.  Multiply E1 by 5 and E2 by 4.  Add E1+E2 to eliminate the x's.<BR>\n" );
document.write( "E1:  5(-4x+3y)=5(2) ---> -20x+15y=10<BR>\n" );
document.write( "E2:  4(5x-2y)=4(-3) --->  20x-8y=-12<BR>\n" );
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document.write( "-20x+15y=10<BR>\n" );
document.write( "20x-8y=-12<BR>\n" );
document.write( "__________<BR>\n" );
document.write( "0+7y=-2<BR>\n" );
document.write( "7y/7=-2/7<BR>\n" );
document.write( "y=-2/7  Darn!  It's a fraction anyway.<BR>\n" );
document.write( "Substitute -2/7 into either equation for y and solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%2B3%28-2%2F7%29=2 ALIGN=MIDDLE  ALT=\"-4x%2B3%28-2%2F7%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x-6%2F7=2 ALIGN=MIDDLE  ALT=\"-4x-6%2F7=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%28-4x-6%2F7%29=7%282%29 ALIGN=MIDDLE  ALT=\"7%28-4x-6%2F7%29=7%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Let's clear the fraction by multiplying everything by 7.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-28x-42%2F7=14 ALIGN=MIDDLE  ALT=\"-28x-42%2F7=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-28x-6=14 ALIGN=MIDDLE  ALT=\"-28x-6=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-28x-6%2B6=14%2B6 ALIGN=MIDDLE  ALT=\"-28x-6%2B6=14%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-28x=20 ALIGN=MIDDLE  ALT=\"-28x=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-28x%2F-28=20%2F-28 ALIGN=MIDDLE  ALT=\"-28x%2F-28=20%2F-28\"   DISABLED_style= \"max-width:90%; height:auto;\" >  20/-28 reduces by 4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5%2A4%2F%28-7%2A4%29 ALIGN=MIDDLE  ALT=\"x=5%2A4%2F%28-7%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5%2F7 ALIGN=MIDDLE  ALT=\"x=-5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The soltuion is: (-5/7,-2/7)<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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