document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=6845>Question 6845</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I need assistance with the following problem:\r<BR>\n" );
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document.write( "Solve the following nonlinear system by elimination:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7x%5E2%2B11y%5E2=28+ ALIGN=MIDDLE  ALT=\"+7x%5E2%2B11y%5E2=28+\"   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%2By%5E2=4+ ALIGN=MIDDLE  ALT=\"+x%5E2%2By%5E2=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In advance, thanks so much for your assistance!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3754 by </B><A HREF=/tutors/aboutme.mpl?userid=prabhjyot><B>prabhjyot(165)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=prabhjyot><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=3754\">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=+7x%5E2%2B11y%5E2=28+ ALIGN=MIDDLE  ALT=\"+7x%5E2%2B11y%5E2=28+\"   DISABLED_style= \"max-width:90%; height:auto;\" >    ---->(1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2%2By%5E2=4+ ALIGN=MIDDLE  ALT=\"+x%5E2%2By%5E2=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >       --->(2)  <BR>\n" );
document.write( "This time we have an ellipse and a hyperbola.  Neither one are in standard form however\r<BR>\n" );
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document.write( "if we just add the two equations we will eliminate the y’s from the system <BR>\n" );
document.write( "for that multiply equation(2) by -11 we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-11x%5E2+-11y%5E2+=-44 ALIGN=MIDDLE  ALT=\"-11x%5E2+-11y%5E2+=-44\"   DISABLED_style= \"max-width:90%; height:auto;\" >  --->(3)<BR>\n" );
document.write( "Now adding equation (1) and equation(3) we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7x%5E2++%2B11y%5E2++=++28 ALIGN=MIDDLE  ALT=\"+7x%5E2++%2B11y%5E2++=++28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-11x%5E2+-11y%5E2++=+-44 ALIGN=MIDDLE  ALT=\"-11x%5E2+-11y%5E2++=+-44\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%5E2++++%2B0++++=+-16 ALIGN=MIDDLE  ALT=\"-4x%5E2++++%2B0++++=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%5E2+=+-16 ALIGN=MIDDLE  ALT=\"-4x%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=x%5E2+=+16%2F4+=+4 ALIGN=MIDDLE  ALT=\"x%5E2+=+16%2F4+=+4\"   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=4 ALIGN=MIDDLE  ALT=\"x%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+sqrt%284%29+=2 ALIGN=MIDDLE  ALT=\"x=+sqrt%284%29+=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x= +/-2<BR>\n" );
document.write( "To determine the value(s) of the y’s we can substitute these into either of the equations.<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%5E2++%2B11y%5E2++=++28 ALIGN=MIDDLE  ALT=\"7x%5E2++%2B11y%5E2++=++28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%282%29%5E2+%2B11y%5E2+=28 ALIGN=MIDDLE  ALT=\"7%282%29%5E2+%2B11y%5E2+=28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28+%2B11y%5E2+=28 ALIGN=MIDDLE  ALT=\"28+%2B11y%5E2+=28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <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;\" ><BR>\n" );
document.write( "x=-2<BR>\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%28-2%29%5E2+%2B11y%5E2+=28 ALIGN=MIDDLE  ALT=\"7%28-2%29%5E2+%2B11y%5E2+=28\"   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=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Therefore the solutions are :(2,0) (-2,0)\r<BR>\n" );
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