document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137051>Question 137051</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve:\r<BR>\n" );
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document.write( "2y^2+xy=5\r<BR>\n" );
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document.write( "4y+x=7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100287 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=100287\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve: <BR>\n" );
document.write( "2y^2+xy=5 <BR>\n" );
document.write( "4y+x=7<BR>\n" );
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document.write( "Solve the 2nd equation for \"x\":<BR>\n" );
document.write( "x = 7-4y<BR>\n" );
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document.write( "Substitute that into the 1st equation and solve for \"y\":<BR>\n" );
document.write( "2y^2+(7-4y)y = 5<BR>\n" );
document.write( "2y^2+7y-4y^2 = 5<BR>\n" );
document.write( "2y^2-7y+5 = 0<BR>\n" );
document.write( "y = [7 +- sqrt(49-4*2*5)]/4<BR>\n" );
document.write( "y = [7 +- 3]/4<BR>\n" );
document.write( "y = 5/2 or y = 1<BR>\n" );
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document.write( "No solve for \"x\":<BR>\n" );
document.write( "If y = 5/2, x = 7-4*(5/2) = -3<BR>\n" );
document.write( "If y = 1, x = 7-4*1 = 3<BR>\n" );
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document.write( "Solutions: (-3,5/2) or (3,1)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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