document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=499644>Question 499644</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by the elimination method 5r-2s=0  2r+5s=29 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #338074 by </B><A HREF=/tutors/aboutme.mpl?userid=Flannery><B>Flannery(124)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Flannery><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=Flannery><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=338074\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> equation 1: 5r-2s=0<BR>\n" );
document.write( "equation 2: 2r+5s=29<BR>\n" );
document.write( "set your equations by multiplication so that one variable has opposite coefficients.<BR>\n" );
document.write( "2(5r-2s=0)<BR>\n" );
document.write( "-5(2r+5s=29)<BR>\n" );
document.write( "now:<BR>\n" );
document.write( "10r-4s=0<BR>\n" );
document.write( "-10r-25s=-145<BR>\n" );
document.write( "subtract equation 2 from equation 1 to eliminate the variable r.<BR>\n" );
document.write( "-29s=-145<BR>\n" );
document.write( "s=5<BR>\n" );
document.write( "put the value of the variable you solved for into one of the origional equations and solve for the other variable.<BR>\n" );
document.write( "5r-10=0<BR>\n" );
document.write( "5r=10<BR>\n" );
document.write( "r=2<BR>\n" );
document.write( "check by putting both values you found into both equations.<BR>\n" );
document.write( "5(2)-2(5)=0<BR>\n" );
document.write( "10-10=0<BR>\n" );
document.write( "0=0<BR>\n" );
document.write( "2(2)+5(5)=29<BR>\n" );
document.write( "4+25=29<BR>\n" );
document.write( "29=29<BR>\n" );
document.write( "Q.E.D. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );