document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84147>Question 84147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system by addition \r<BR>\n" );
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document.write( "-3x+4y=-16<BR>\n" );
document.write( "  x-2y=12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60591 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=60591\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system by addition \r<BR>\n" );
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document.write( "-3x+4y=-16  R1<BR>\n" );
document.write( "  x-2y=12  R2<BR>\n" );
document.write( "Multiply R2 by 3 and add it to R1 and the x's will be eliminated so you can solve for y.<BR>\n" );
document.write( "3R2===> 3(x-2y)=3(12)===> 3x-6y=36<BR>\n" );
document.write( "R1+3R2 is<BR>\n" );
document.write( "-3x+4y=-16<BR>\n" );
document.write( " 3x-6y=36<BR>\n" );
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document.write( " 0-2y=20<BR>\n" );
document.write( "-2y=20<BR>\n" );
document.write( "-2y/-2=20/-2<BR>\n" );
document.write( "y=-10<BR>\n" );
document.write( "Now substitute 10 in for y in R2 (because it's easier than R1) and solve for x:<BR>\n" );
document.write( "x-2(-10)=12<BR>\n" );
document.write( "x+20=12<BR>\n" );
document.write( "x+20-20=12-20<BR>\n" );
document.write( "x=-8<BR>\n" );
document.write( "The solution to the system is (x,y)=(-8,-10)<BR>\n" );
document.write( "Happy Calculating!!!! </SPAN>\n" );
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