document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=737787>Question 737787</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^2 + y^2 =25 and 2x -3y =-6 i need to find all real solutions of the nonlinear system of equations </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #450565 by </B><A HREF=/tutors/aboutme.mpl?userid=Susan-math><B>Susan-math(40)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Susan-math><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=450565\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x-3y=-6 gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%283%2F2%29y-3 ALIGN=MIDDLE  ALT=\"x=%283%2F2%29y-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so }}}x^2+y^2=25}}}  becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%2F2%29y-3%29%5E2%2By%5E2=25 ALIGN=MIDDLE  ALT=\"%28%283%2F2%29y-3%29%5E2%2By%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F4%29y%5E2-9y%2B9+%2By%5E2=25 ALIGN=MIDDLE  ALT=\"%289%2F4%29y%5E2-9y%2B9+%2By%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2813%2F4%29y%5E2-9y-16=0 ALIGN=MIDDLE  ALT=\"%2813%2F4%29y%5E2-9y-16=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Using the quadratic formula with a=13/4, b=-9 c=-16\r<BR>\n" );
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document.write( "Then (((y=(9 +-sqrt(81-4(13/4)(-16)))/2(13/4)=(9+-sqrt(289))/(13/2)=(9+-17)/(13/2)}}} which gives y=4 or y=-16/13\r<BR>\n" );
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document.write( "substitute those into the linear equation to find x.<BR>\n" );
document.write( "y=4 gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%283%2F2%29%284%29-3=6-3=3 ALIGN=MIDDLE  ALT=\"x=%283%2F2%29%284%29-3=6-3=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y=-16/13 gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%283%2F2%29%28-16%2F13%29-3=-24%2F13-3=-%2863%2F13%29 ALIGN=MIDDLE  ALT=\"x=%283%2F2%29%28-16%2F13%29-3=-24%2F13-3=-%2863%2F13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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