document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=892463>Question 892463</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me solve the solution of this set of equations x^2+xy+y^2=12 and x+y=2 <BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #540507 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=540507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Can you help me solve the solution of this set of equations <BR>\n" );
document.write( "x^2+xy+y^2=12 and x+y=2<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "y = 2-x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Substitute for \"y\" and solve for \"x\":<BR>\n" );
document.write( "x^2 + x(2-x) + (2-x)^2 = 12<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x^2 + 2x - x^2 + 4-4x+x^2 = 12<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "x^2 -2x + 4 = 12<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "x^2 -2x - 8 = 0<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Factor::<BR>\n" );
document.write( "(x-4)(x+2) = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = 4 or x = -2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "If x = 4, y = 2-x = -2<BR>\n" );
document.write( "If x = -2 y = 2-x = 4<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------------------- <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );