document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=615860>Question 615860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve this system?<BR>\n" );
document.write( "x²+y²=10<BR>\n" );
document.write( "xy=3<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387338 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=387338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> FOILing (x + y)^2 ___ x^2 + 2xy + y^2\r<BR>\n" );
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document.write( "substituting ___ (x + y)^2 = 10 + 2(3) = 16\r<BR>\n" );
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document.write( "taking square root ___ x + y = ± 4\r<BR>\n" );
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document.write( "xy = 3 ___ x = 3/y\r<BR>\n" );
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document.write( "x + y = 4 ___ substituting ___ 3/y + y = 4 ___ 3 + y^2 = 4y ___ y^2 - 4y + 3 = 0 ___ (y - 3)(y - 1) = 0<BR>\n" );
document.write( "___ y = 3 AND 1 ___ solutions are (1,3) and (3,1)\r<BR>\n" );
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document.write( "x + y = -4 ___ same technique ___ solutions are (-1,-3) and (-3,-1) </SPAN>\n" );
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