document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=447412>Question 447412</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve<BR>\n" );
document.write( "2x^2-y^2=1<BR>\n" );
document.write( "x+y=12<BR>\n" );
document.write( "Please explain how to solve this in any form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #308007 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=308007\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x^2-y^2=1<BR>\n" );
document.write( "x+y=12\r<BR>\n" );
document.write( "\n" );
document.write( "x=12-y\r<BR>\n" );
document.write( "\n" );
document.write( "2x^2-y^2=1<BR>\n" );
document.write( "substitute x<BR>\n" );
document.write( "2(12-y)^2-y^2=1<BR>\n" );
document.write( "2(144-24y+y^2)-y^2=1<BR>\n" );
document.write( "288-48y+2y^2-y^2=1<BR>\n" );
document.write( "y^2-48y+288=1<BR>\n" );
document.write( "y^2-48y+287=1<BR>\n" );
document.write( "y^2-41y-7y+287=0<BR>\n" );
document.write( "y(y-41)-7(y-41)=0<BR>\n" );
document.write( "(y-41)(y-7)=0<BR>\n" );
document.write( "y=41 OR 7<BR>\n" );
document.write( "When y =41 x=-29 ( -29,41)<BR>\n" );
document.write( "when y=7, x=5  (5,7) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );