document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=309466>Question 309466</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Im REALLY stuck on this Algebra Equasion, Please Help Me!!!\r<BR>\n" );
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document.write( "I have these 2 formulas\r<BR>\n" );
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document.write( "12-x^2 -2xy = 0<BR>\n" );
document.write( "...12-y^2 - 2xy = 0\r<BR>\n" );
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document.write( "for some reason x and y are both 2\r<BR>\n" );
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document.write( "how do you get this<BR>\n" );
document.write( "i tried and got\r<BR>\n" );
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document.write( "y= 6/x -0.5x tried to sub into second one but gets messy any way to do this on a calculator by any chance but i want to know how to do it algebraically hmmmmm........ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #221321 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=221321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have 2 equations.\r<BR>\n" );
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document.write( "They are:\r<BR>\n" );
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document.write( "12 - x^2 - 2xy = 0 and 12 - y^2 - 2xy = 0\r<BR>\n" );
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document.write( "Add 2xy to both sides of each equation to get:\r<BR>\n" );
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document.write( "2xy = 12 - x^2 and 2xy = 12 - y^2\r<BR>\n" );
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document.write( "Since these equations both equal to 2xy, then they both equal to each other and you get:\r<BR>\n" );
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document.write( "12 - x^2 = 12 - y^2\r<BR>\n" );
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document.write( "Subtract 12 from both sides of this equation to get:\r<BR>\n" );
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document.write( "-x^2 = -y^2\r<BR>\n" );
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document.write( "Multiply both sides of each equation to get:\r<BR>\n" );
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document.write( "x^2 = y^2\r<BR>\n" );
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document.write( "Take the square root of both sides of the equation to get:\r<BR>\n" );
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document.write( "x = y\r<BR>\n" );
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document.write( "Since x = y, then you can substitute x for y in each equation to get:\r<BR>\n" );
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document.write( "First equation becomes:\r<BR>\n" );
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document.write( "12 - x^2 - 2x^2 = 0 which becomes:\r<BR>\n" );
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document.write( "12 - 3x^2 = 0\r<BR>\n" );
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document.write( "Add 3x^2 to both sides of the equation to get:\r<BR>\n" );
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document.write( "3x^2 = 12\r<BR>\n" );
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document.write( "Divide both sides of the equation by 3 to get:\r<BR>\n" );
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document.write( "x^2 = 4\r<BR>\n" );
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document.write( "Take the square root of both sides of the equation to get:\r<BR>\n" );
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document.write( "x = 2\r<BR>\n" );
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document.write( "You can do the same by substituting y for x in the other equation.\r<BR>\n" );
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document.write( "That equation becomes:\r<BR>\n" );
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document.write( "12 - y^2 - 2y^2 = 0 which becomes:\r<BR>\n" );
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document.write( "12 - 3y^2 = 0\r<BR>\n" );
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document.write( "Solve for y to get:\r<BR>\n" );
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document.write( "y = 2\r<BR>\n" );
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document.write( " </SPAN>\n" );
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