document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89877>Question 89877</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would you find the points that the graphs of the equation in the following systems have in common?<BR>\n" );
document.write( "x^2+y^2=4<BR>\n" );
document.write( "x=y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65236 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=65236\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28highlight%28x%29%29%5E2=4 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28highlight%28x%29%29%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in y=x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2=4 ALIGN=MIDDLE  ALT=\"2x%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=2 ALIGN=MIDDLE  ALT=\"x%5E2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0%2B-sqrt%282%29 ALIGN=MIDDLE  ALT=\"x=0%2B-sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides\r<BR>\n" );
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document.write( "So our solutions are (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%282%29 ALIGN=MIDDLE  ALT=\"-sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%282%29 ALIGN=MIDDLE  ALT=\"-sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >) and (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2B2=4 ALIGN=MIDDLE  ALT=\"2%2B2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4=4 ALIGN=MIDDLE  ALT=\"4=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > works\r<BR>\n" );
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document.write( "or \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-sqrt%282%29%29%5E2%2B%28%28-sqrt%282%29%29%29%5E2=4 ALIGN=MIDDLE  ALT=\"%28-sqrt%282%29%29%5E2%2B%28%28-sqrt%282%29%29%29%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2B2=4 ALIGN=MIDDLE  ALT=\"2%2B2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4=4 ALIGN=MIDDLE  ALT=\"4=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > works\r<BR>\n" );
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document.write( "We can also verify with this graph\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C500%2C-6%2C6%2C-6%2C6%2C%0D%0Agraph%28500%2C500%2C-6%2C6%2C-6%2C6%2Cx%29%2C%0D%0Acircle%280%2C0%2C2%29%2C%0D%0Acircle%28sqrt%282%29%2Csqrt%282%29%2C0.05%29%2C%0D%0Acircle%28sqrt%282%29%2Csqrt%282%29%2C0.08%29%2C%0D%0Acircle%28-sqrt%282%29%2C-sqrt%282%29%2C0.05%29%2C%0D%0Acircle%28-sqrt%282%29%2C-sqrt%282%29%2C0.08%29%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and if you used Pythagoreans theorem, you would verify your answer.<BR>\n" );
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