document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=878504>Question 878504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what are the solutions to the nonlinear system of equations below?\r<BR>\n" );
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document.write( "check all that apply\r<BR>\n" );
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document.write( "x^2+y^2=9<BR>\n" );
document.write( "x^2/3^2-y^2/3^2=1\r<BR>\n" );
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document.write( "A. (3, 3)<BR>\n" );
document.write( "B. (-3, -3)<BR>\n" );
document.write( "C. (3, 0)<BR>\n" );
document.write( "D. (0, 3)<BR>\n" );
document.write( "E. (0, -3)<BR>\n" );
document.write( "F. (-3, 0) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #530025 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39621)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=530025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A good method is solve one equation either for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2 ALIGN=MIDDLE  ALT=\"y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and substitute into the other equation, and solve for this single variable.  Return to the first variable and solve.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=9-x%5E2 ALIGN=MIDDLE  ALT=\"y%5E2=9-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Now substitute ...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F9-%289-x%5E2%29%2F9=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F9-%289-x%5E2%29%2F9=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-%289-x%5E2%29=9 ALIGN=MIDDLE  ALT=\"x%5E2-%289-x%5E2%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-9=9 ALIGN=MIDDLE  ALT=\"2x%5E2-9=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2=9%2B9=18 ALIGN=MIDDLE  ALT=\"2x%5E2=9%2B9=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=9 ALIGN=MIDDLE  ALT=\"x%5E2=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3 ALIGN=MIDDLE  ALT=\"x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > OR <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Resuming with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=9-x%5E2 ALIGN=MIDDLE  ALT=\"y%5E2=9-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, either x solution will give the same y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=9-9 ALIGN=MIDDLE  ALT=\"y%5E2=9-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=0 ALIGN=MIDDLE  ALT=\"y%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<b>SOLUTIONS:  (-3,0) and (3,0).</b> </SPAN>\n" );
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