document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=443408>Question 443408</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help solve this simultaneous equations\r<BR>\n" );
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document.write( "x^2 = 4 - y<BR>\n" );
document.write( "x = y + 2\r<BR>\n" );
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document.write( "thanks<BR>\n" );
document.write( "AA </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305847 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305847\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2 = 4 - y<BR>\n" );
document.write( "x = y + 2\r<BR>\n" );
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document.write( "then y = x-2 via the second equation... sub it back into the first.\r<BR>\n" );
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document.write( "x^2 = 4 - (x-2)<BR>\n" );
document.write( "x^2 = 4 -x  +2<BR>\n" );
document.write( "x^2 = 6 -x<BR>\n" );
document.write( "x^2 +x -6 = 0<BR>\n" );
document.write( "(x+3)(x-2) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+-3%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=2%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Plug each of these back in for x.\r<BR>\n" );
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document.write( "-3 = y +2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-5+=+y%29 ALIGN=MIDDLE  ALT=\"highlight%28-5+=+y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2 = y +2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280+=+y%29 ALIGN=MIDDLE  ALT=\"highlight%280+=+y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we have two solutions, (-3,-5) and (2,0).\r<BR>\n" );
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document.write( "Let's check each of these.\r<BR>\n" );
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document.write( "x^2 = 4-y<BR>\n" );
document.write( "x = y + 2\r<BR>\n" );
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document.write( "9  = 4 +5 = 9  Check.<BR>\n" );
document.write( "-3 = -5 + 2 = -3 Check.\r<BR>\n" );
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document.write( "So (-3,-5) works.\r<BR>\n" );
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document.write( "=============<BR>\n" );
document.write( "Try (2,0)\r<BR>\n" );
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document.write( "4  = 4 - 0 = 4 Check.<BR>\n" );
document.write( "2  = 0 +2 = 2 Check.\r<BR>\n" );
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document.write( "Both solutions work.\r<BR>\n" );
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document.write( "Again the solutions are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+-3+%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+-3+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+-5%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+2%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=0%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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