document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149514>Question 149514</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve the following system of linear equation<BR>\n" );
document.write( "4x - 3y = 9\r<BR>\n" );
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document.write( "2x + y = 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 #109704 by </B><A HREF=/tutors/aboutme.mpl?userid=tryin2bhelpful><B>tryin2bhelpful(6)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tryin2bhelpful><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=109704\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Systems are really simple, sometimes people let them get the best of them...\r<BR>\n" );
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document.write( "What you want to do is make a variable in one equation, cancel out the same variable in the other equation\r<BR>\n" );
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document.write( "For example... y and -y, 2x and -2x, 3z and -3z\r<BR>\n" );
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document.write( "But remember! what you do to one variable, you have to do to the WHOLE equation...\r<BR>\n" );
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document.write( "With this equation, let's pick 2x and 4x...\r<BR>\n" );
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document.write( "We're going to multiply the 2x+y=12 equation by (-2) so that 2x becomes the OPPOSITE of 4x... \r<BR>\n" );
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document.write( "Like this...\r<BR>\n" );
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document.write( "(2x+y=12)*(-2)<BR>\n" );
document.write( "-4x-2y=-24\r<BR>\n" );
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document.write( "now, we can add the other equation to it...\r<BR>\n" );
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document.write( "  -4x-2y=-24<BR>\n" );
document.write( "+  4x-3y= 9<BR>\n" );
document.write( "_____________<BR>\n" );
document.write( "     -5y= -15<BR>\n" );
document.write( "Divide both sides by \"-5\"<BR>\n" );
document.write( "       y= 3\r<BR>\n" );
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document.write( "Now you subsitute 3 for y in the original problem.\r<BR>\n" );
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document.write( "2x +  y = 12<BR>\n" );
document.write( "2x + (3)= 12<BR>\n" );
document.write( "Subtract 3 from both sides<BR>\n" );
document.write( "2x + 3 (-3) = 12 (-3)<BR>\n" );
document.write( "2x= 9<BR>\n" );
document.write( " x= 9/2\r<BR>\n" );
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document.write( "Now you've solved the system!! Good luck!\r<BR>\n" );
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