document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=852363>Question 852363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x2&#8722;2y=11<BR>\n" );
document.write( "3x2+y2=24 I'm suppose to solve the system of equations and need, if I should use elimination or plug in and my teacher said there should be a total of four solutions </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #513324 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=513324\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You must want these equations as given ones:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2y=11 ALIGN=MIDDLE  ALT=\"x%5E2-2y=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%2By%5E2=24 ALIGN=MIDDLE  ALT=\"3x%5E2%2By%5E2=24\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "-------- A parabola intersecting a circle.  Yes, MAYBE four solutions for that system; depends....\r<BR>\n" );
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document.write( "What method to solve the system, depends on what you know and what you want to use (unless you are directed to use a particular method).   That choice appears to be YOURS.\r<BR>\n" );
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document.write( "To not remove the opportunity for you to begin to solve the system, I will begin a couple of steps off the site page and continue some of it on the site page...<BR>\n" );
document.write( "A possible equation resulting from a solution process can be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y%5E2-6y%2B9=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y%5E2-6y%2B9=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This is a quadratic equation in y, and it is factorable.\r<BR>\n" );
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document.write( "Continuing with that factorization,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-3%29%5E2=0 ALIGN=MIDDLE  ALT=\"%28y-3%29%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=highlight%28y=3%29 ALIGN=MIDDLE  ALT=\"highlight%28y=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this will mean through <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=11-2y ALIGN=MIDDLE  ALT=\"x%5E2=11-2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "LOOKS LIKE TWO SOLUTIONS, NOT FOUR SOLUTIONS.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C5%2C-8%2C8%2C%281%2F2%29x%5E2-11%2F2%2C-sqrt%2824-3x%5E2%29%2Csqrt%2824-3x%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "One reason the circle appears split is because the circle is made of two functions put together on the same graph.<BR>\n" );
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document.write( "This graph very obviously shows two points of intersection; NOT four. </SPAN>\n" );
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