document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119601>Question 1119601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given x^3 + x^2 * y - 20 = 0 and y^3 + x * y^2 - 45 = 0 what is y?\r<BR>\n" );
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document.write( "It is also given that x and y are positive real numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735179 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=735179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This approach was not yet rechecked carefully.....\r<BR>\n" );
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document.write( "First Equation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2Bx%5E2y=20 ALIGN=MIDDLE  ALT=\"x%5E3%2Bx%5E2y=20\"   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%28x%2By%29=20 ALIGN=MIDDLE  ALT=\"x%5E2%28x%2By%29=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=20%2Fx%5E2 ALIGN=MIDDLE  ALT=\"x%2By=20%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Second Equation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy%5E2%2By%5E3=45 ALIGN=MIDDLE  ALT=\"xy%5E2%2By%5E3=45\"   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%28x%2By%29=45 ALIGN=MIDDLE  ALT=\"y%5E2%28x%2By%29=45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=45%2Fy%5E2 ALIGN=MIDDLE  ALT=\"x%2By=45%2Fy%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Two expressions for x+y are equal.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fx%5E2=45%2Fy%5E2 ALIGN=MIDDLE  ALT=\"20%2Fx%5E2=45%2Fy%5E2\"   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=y%5E2%2Fx%5E2=9%2F4 ALIGN=MIDDLE  ALT=\"y%5E2%2Fx%5E2=9%2F4\"   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=y%2Fx=0%2B-+3%2F2 ALIGN=MIDDLE  ALT=\"y%2Fx=0%2B-+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Assuming the PLUS form would work,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2y%2F3 ALIGN=MIDDLE  ALT=\"x=2y%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this into the second equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E3%2B%282%2F3%29y%2Ay%5E2-45=0 ALIGN=MIDDLE  ALT=\"y%5E3%2B%282%2F3%29y%2Ay%5E2-45=0\"   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=y%5E3%2B%282%2F3%29y%5E3=45 ALIGN=MIDDLE  ALT=\"y%5E3%2B%282%2F3%29y%5E3=45\"   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=%285%2F3%29y%5E3=45 ALIGN=MIDDLE  ALT=\"%285%2F3%29y%5E3=45\"   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=y%5E3=45%2A%283%2F5%29 ALIGN=MIDDLE  ALT=\"y%5E3=45%2A%283%2F5%29\"   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=y%5E3=%289%2A5%2A3%29%2F5=9%2A3=3%5E3 ALIGN=MIDDLE  ALT=\"y%5E3=%289%2A5%2A3%29%2F5=9%2A3=3%5E3\"   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=highlight_green%28y=3%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solution not yet been checked carefully </SPAN>\n" );
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