document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=687818>Question 687818</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^2+xy+y^2=12<BR>\n" );
document.write( "x+y=2\r<BR>\n" );
document.write( "\n" );
document.write( "solve the following system </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #425356 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=425356\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2+xy+y^2=12<BR>\n" );
document.write( "x+y=2 <BR>\n" );
document.write( "solve the following system<BR>\n" );
document.write( "x^2+xy+y^2=12<BR>\n" );
document.write( "add xy to both sides<BR>\n" );
document.write( "x^2+2xy+y^2=xy+12<BR>\n" );
document.write( "(x+y)^2=xy+12<BR>\n" );
document.write( "From 2nd equation:<BR>\n" );
document.write( "(x+y)^2=4=xy+12<BR>\n" );
document.write( "xy=-8<BR>\n" );
document.write( "y=-8/x<BR>\n" );
document.write( "x+y=2<BR>\n" );
document.write( "x-8/x=2<BR>\n" );
document.write( "x^2-8=2x<BR>\n" );
document.write( "x^2-2x-8=0<BR>\n" );
document.write( "(x-4)(x+2)=0<BR>\n" );
document.write( "x=4<BR>\n" );
document.write( "y=-2<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=-2<BR>\n" );
document.write( "y=4<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );