document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79690>Question 79690</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sometimes both equations will need to be multiplied to obtain opposite coefficients\r<BR>\n" );
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document.write( "EXAMPLE<BR>\n" );
document.write( "3X + 5Y =6\r<BR>\n" );
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document.write( "-4X + 2Y =5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57179 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=57179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3X + 5Y =6 <BR>\n" );
document.write( "-4X + 2Y =5<BR>\n" );
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document.write( "Let's say you want to get rid of the X-terms:<BR>\n" );
document.write( "Multiply 1st equation by 4 so you get a 12X term:<BR>\n" );
document.write( "Multiply 2nd equation by 3 so you get a -12x term:<BR>\n" );
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document.write( "12x + 20y = 24<BR>\n" );
document.write( "-12x+  6y = 15<BR>\n" );
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document.write( "Now, add the two equations to get:<BR>\n" );
document.write( "26y=39<BR>\n" );
document.write( "y=39/26<BR>\n" );
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document.write( "Substitute that value of y into one of the equations so you can solve for x:<BR>\n" );
document.write( "3x +5(39/26) = 6<BR>\n" );
document.write( "x+5(13/26) = 2<BR>\n" );
document.write( "x+5/2 = 2<BR>\n" );
document.write( "x= -1/2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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