document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328152>Question 328152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following system of nonlinear equations\r<BR>\n" );
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document.write( "2xy=3\r<BR>\n" );
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document.write( "4x^2-8y^2=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235115 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=235115\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2xy=3 ALIGN=MIDDLE  ALT=\"2xy=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-8y%5E2=1 ALIGN=MIDDLE  ALT=\"4x%5E2-8y%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From eq. 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%2F%282x%29 ALIGN=MIDDLE  ALT=\"y=3%2F%282x%29\"   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=9%2F%284x%5E2%29 ALIGN=MIDDLE  ALT=\"y%5E2=9%2F%284x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute into eq. 2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-8%289%2F%284x%5E2%29%29=1%7C%7C%7C%0D%0A%7B%7B%7B4x%5E2-18%2Fx%5E2=1 ALIGN=MIDDLE  ALT=\"4x%5E2-8%289%2F%284x%5E2%29%29=1%7C%7C%7C%0D%0A%7B%7B%7B4x%5E2-18%2Fx%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E4-18=x%5E2 ALIGN=MIDDLE  ALT=\"4x%5E4-18=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E4-x%5E2-18=0 ALIGN=MIDDLE  ALT=\"4x%5E4-x%5E2-18=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%5E2-9%29%28x%5E2%2B2%29=0 ALIGN=MIDDLE  ALT=\"%284x%5E2-9%29%28x%5E2%2B2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "One solution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-9=0 ALIGN=MIDDLE  ALT=\"4x%5E2-9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2=9 ALIGN=MIDDLE  ALT=\"4x%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%5E2=9%2F4 ALIGN=MIDDLE  ALT=\"x%5E2=9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0+%2B-+3%2F2 ALIGN=MIDDLE  ALT=\"x=0+%2B-+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now find y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%2F%282x%29 ALIGN=MIDDLE  ALT=\"y=3%2F%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%2F%282%2A%283%2F2%29%29%0D%0A%7B%7B%7By=1 ALIGN=MIDDLE  ALT=\"y=3%2F%282%2A%283%2F2%29%29%0D%0A%7B%7B%7By=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(-3/2,-1)<BR>\n" );
document.write( "(3/2,1)<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-10%2C10%2C-10%2C10%2Ccircle%28-3%2F2%2C-1%2C.3%29%2Ccircle%283%2F2%2C1%2C.3%29%2Cgraph%28300%2C300%2C-10%2C10%2C-10%2C10%2C3%2F%282x%29%2C-sqrt%28%284x%5E2-1%29%2F8%29%2Csqrt%28%284x%5E2-1%29%2F8%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );