document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=716277>Question 716277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need a brief explanation on how to solve system of linear equations using addition/elimination, I understand the other 2 but do not get this one please help!\r<BR>\n" );
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document.write( "3x+2y=-13<BR>\n" );
document.write( "5x-1y=-13 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439820 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=439820\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x + 2y = -13<BR>\n" );
document.write( "5x - 1y = -13<BR>\n" );
document.write( "We want to multiply one or both of the equations so that when we add them, one of the variables is eliminated<BR>\n" );
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document.write( "In this problem we just have to multiply the 2nd equation by 2, and add to the 1st<BR>\n" );
document.write( " 3x + 2y = -13<BR>\n" );
document.write( "10x - 2y = -26<BR>\n" );
document.write( "-------------------Adding eliminates y, find x<BR>\n" );
document.write( "13x + 0 = -39<BR>\n" );
document.write( "x = -39/13<BR>\n" );
document.write( "x = -3<BR>\n" );
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document.write( "Find y using the 1st equation, replace x with -3<BR>\n" );
document.write( "3(-3) + 2y = -13<BR>\n" );
document.write( "-9 + 2y = -13<BR>\n" );
document.write( "2y = -13 + 9<BR>\n" );
document.write( "2y = -4<BR>\n" );
document.write( "y = -4/2<BR>\n" );
document.write( "y = -2<BR>\n" );
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document.write( "Check the solutions in the original 2nd equation<BR>\n" );
document.write( "5x - 1y = -13<BR>\n" );
document.write( "replace x with -3; replace y with -2<BR>\n" );
document.write( "5(-3) - 1(-2) = -13<BR>\n" );
document.write( "-15 + 2 = -13; confirms our solution of x=-3, y=-2 </SPAN>\n" );
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