document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193437>Question 193437</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what do they mean by find the exact solutions of each system of equations: x^2+y^2=100 and y=2-x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145217 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=145217\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what do they mean by find the exact solutions of each system of equations: x^2+y^2=100 and y=2-x?<BR>\n" );
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document.write( "They mean for you to find x/y pairs that make both equations true.<BR>\n" );
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document.write( "Substitute y = 2-x in the other equation to solve for \"x\":\r<BR>\n" );
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document.write( "x^2 + (2-x)^2 = 100<BR>\n" );
document.write( "x^2 + 4 -4x + x^2 = 100<BR>\n" );
document.write( "2x^2-4x-96 = 0<BR>\n" );
document.write( "x^2 -2x-48 = 0<BR>\n" );
document.write( "(x-8)(x+6) = 0<BR>\n" );
document.write( "x = 8 or x = -6<BR>\n" );
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document.write( "If x = 8, y = 2-x = 6 giving you point (8,6)<BR>\n" );
document.write( "If x = -6, y = 2-x = 9 giving you point (-6,8)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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