document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5889>Question 5889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This question is on elimination...<BR>\n" );
document.write( "0.5x+0.5y=-2<BR>\n" );
document.write( "x-0.25y=6\r<BR>\n" );
document.write( "\n" );
document.write( "My answer was (2.5,-14) Is this right?<BR>\n" );
document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3076 by </B><A HREF=/tutors/aboutme.mpl?userid=Abbey><B>Abbey(339)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Abbey><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=3076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> multiply both equations by 100 to get rid of the decimals:<BR>\n" );
document.write( "50x+50y=-200<BR>\n" );
document.write( "100x-25y=600\r<BR>\n" );
document.write( "\n" );
document.write( "multiply the first equation by -2<BR>\n" );
document.write( "-100x-100y=400<BR>\n" );
document.write( "100x-25y=600\r<BR>\n" );
document.write( "\n" );
document.write( "add the equations together:<BR>\n" );
document.write( "-125y=1000<BR>\n" );
document.write( "y=-8<BR>\n" );
document.write( "put this back into your original equation:<BR>\n" );
document.write( ".5x+.5(-8)=-2<BR>\n" );
document.write( ".5x+-4=-2<BR>\n" );
document.write( ".5x=2<BR>\n" );
document.write( "x=4<BR>\n" );
document.write( "verify using the other equation:<BR>\n" );
document.write( "4-.25(-8)=6<BR>\n" );
document.write( "4+2=6, this is a true statement, so the solution is (4,-8)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );