document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=41177>Question 41177</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use Gauss-Jordan elimination to solve the following system of equations.<BR>\n" );
document.write( "3x+5y=7<BR>\n" );
document.write( "6x-y=-8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #26649 by </B><A HREF=/tutors/aboutme.mpl?userid=zeynep><B>zeynep(43)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=zeynep><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=26649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x+5y=7<BR>\n" );
document.write( "6x-y=-8\r<BR>\n" );
document.write( "\n" );
document.write( "Let's multiply the second equation by 5 to create opposite coefficients for y.\r<BR>\n" );
document.write( "\n" );
document.write( "3x+5y=7<BR>\n" );
document.write( "30x-5y=-40\r<BR>\n" );
document.write( "\n" );
document.write( "Now, let''s add the two equations to drop out y.\r<BR>\n" );
document.write( "\n" );
document.write( "33x=-33y  (divide each side by 33)<BR>\n" );
document.write( "33x/33=-33/33<BR>\n" );
document.write( "x=-1\r<BR>\n" );
document.write( "\n" );
document.write( "Let's plug the value of x in the first equation (you may plug it in the second equation as well);\r<BR>\n" );
document.write( "\n" );
document.write( "3.(-1)+5y=7<BR>\n" );
document.write( "-3+5y=7  (move -3 to the right of the equation)<BR>\n" );
document.write( "5y=7+3<BR>\n" );
document.write( "5y=10     (divide each side by 5)<BR>\n" );
document.write( "5y/5=10/5<BR>\n" );
document.write( "y=2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );