document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30338>Question 30338</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve:\r<BR>\n" );
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document.write( "x^2+y^2=16<BR>\n" );
document.write( "x^2/25 + y^2/16 =1\r<BR>\n" );
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document.write( "(a) no solutions<BR>\n" );
document.write( "(b) [(0, -1), (0,4)]<BR>\n" );
document.write( "(c) [(0, -5), (0,5)]<BR>\n" );
document.write( "(d) [(-5, 0), (5, )] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17004 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe that the answer is b) except you have written the answer incorrectly.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+y%5E2+=+16+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+y%5E2+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E2%2F25%29+%2B+%28y%5E2%2F16%29+=+1 ALIGN=MIDDLE  ALT=\"+%28x%5E2%2F25%29+%2B+%28y%5E2%2F16%29+=+1\"   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=+x%5E2+%2B+y%5E2+=+16+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+y%5E2+=+16+\"   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+=+16+-+x%5E2+ ALIGN=MIDDLE  ALT=\"+y%5E2+=+16+-+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Sub this into the second equation, to give:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E2%2F25%29+%2B+%28%2816+-+x%5E2%29%2F16%29+=+1+ ALIGN=MIDDLE  ALT=\"+%28x%5E2%2F25%29+%2B+%28%2816+-+x%5E2%29%2F16%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E2%2F25%29+%2B+%2816%2F16%29+-+%28x%5E2%2F16%29+=+1+ ALIGN=MIDDLE  ALT=\"+%28x%5E2%2F25%29+%2B+%2816%2F16%29+-+%28x%5E2%2F16%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E2%2F25%29+%2B+1+-+%28x%5E2%2F16%29+=+1+ ALIGN=MIDDLE  ALT=\"+%28x%5E2%2F25%29+%2B+1+-+%28x%5E2%2F16%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E2%2F25%29+-+%28x%5E2%2F16%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28x%5E2%2F25%29+-+%28x%5E2%2F16%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-9x%5E2%2F400+=+0+ ALIGN=MIDDLE  ALT=\"+-9x%5E2%2F400+=+0+\"   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+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so x = 0.\r<BR>\n" );
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document.write( "If x=0, then from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5E2+=+16+-+x%5E2+ ALIGN=MIDDLE  ALT=\"+y%5E2+=+16+-+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5E2+=+16+-+0%5E2+ ALIGN=MIDDLE  ALT=\"+y%5E2+=+16+-+0%5E2+\"   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+=+16+ ALIGN=MIDDLE  ALT=\"+y%5E2+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+sqrt%2816%29+ ALIGN=MIDDLE  ALT=\"+y+=+sqrt%2816%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-sqrt%2816%29+ ALIGN=MIDDLE  ALT=\"+y+=+-sqrt%2816%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, y = 4 or -4.\r<BR>\n" );
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document.write( "The 2 solutions are (0,4) and (0,-4).\r<BR>\n" );
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document.write( "Check in the second equation, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E2%2F25%29+%2B+%28y%5E2%2F16%29+=+1 ALIGN=MIDDLE  ALT=\"+%28x%5E2%2F25%29+%2B+%28y%5E2%2F16%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "using (0,4):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%280%5E2%2F25%29+%2B+%284%5E2%2F16%29+ ALIGN=MIDDLE  ALT=\"+%280%5E2%2F25%29+%2B+%284%5E2%2F16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+%2B+%2816%2F16%29+ ALIGN=MIDDLE  ALT=\"+0+%2B+%2816%2F16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is indeed 1... correct.\r<BR>\n" );
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document.write( "using (0,-4):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%280%5E2%2F25%29+%2B+%28%28-4%29%5E2%2F16%29+=+1 ALIGN=MIDDLE  ALT=\"+%280%5E2%2F25%29+%2B+%28%28-4%29%5E2%2F16%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+%2B+%2816%2F16%29+=+1 ALIGN=MIDDLE  ALT=\"+0+%2B+%2816%2F16%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is also 1... correct\r<BR>\n" );
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document.write( "jon.<BR>\n" );
document.write( " </SPAN>\n" );
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