document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=743011>Question 743011</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system\r<BR>\n" );
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document.write( "x^2 + y = 3<BR>\n" );
document.write( "x + y = 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #452753 by </B><A HREF=/tutors/aboutme.mpl?userid=davethejackal><B>davethejackal(28)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=davethejackal><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=davethejackal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=452753\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+y+=+3+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+y+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > [1]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+=+1+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > [2]\r<BR>\n" );
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document.write( "Subtracting x^2 from both sides of  [1] gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=+3+-+x%5E2+ ALIGN=MIDDLE  ALT=\"+y=+3+-+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > [3]<BR>\n" );
document.write( "Subtracting x from both sides of [2] gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+1-x+ ALIGN=MIDDLE  ALT=\"+y+=+1-x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > [4]\r<BR>\n" );
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document.write( "Combining [3] and [4] <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+3+-+x%5E2+=+1-x+ ALIGN=MIDDLE  ALT=\"+y+=+3+-+x%5E2+=+1-x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Thus <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-x+-2+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+-x+-2+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factorising gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x-2%29%28x%2B1%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28x-2%29%28x%2B1%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hence x=2 or x = -1\r<BR>\n" );
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document.write( "Subst x=2 in [3] gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+3-+2%5E2+=-1+ ALIGN=MIDDLE  ALT=\"+y+=+3-+2%5E2+=-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subst x=-1 in [3] gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+3+-+%28-1%29%5E2+=+3-1+=+2+%29%29%29%0D%0A%0D%0A%0D%0AChecking%3A%0D%0ASubst+x=2+in+%5B4%5D+gives+%7B%7B%7B+y+=+1-2+=+-1+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subst x=-1 in [4] gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+1-x+=+2+ ALIGN=MIDDLE  ALT=\"+y+=+1-x+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hence the solutions are (2,-1) and (-1,2) </SPAN>\n" );
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