document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039550>Question 1039550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the GREATEST possible number of solutions to the following system of equations?\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+y^2=9<BR>\n" );
document.write( "9x+2y=16\r<BR>\n" );
document.write( "\n" );
document.write( "a)1<BR>\n" );
document.write( "b)2<BR>\n" );
document.write( "c)3<BR>\n" );
document.write( "d)4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654336 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=654336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "One equation is a circle, and the other is a straight line.  A circle and a straight line can intersect in 0, 1, or 2 points.  The two particular equations that you provided do, in fact, intersect in two points.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A more general question and one that would better illustrate the concept that I think your instructor was trying to communicate would be:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<i>What is the greatest number of solutions to the following system of equations:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (x\ -\ h)^2\ +\ (y\ -\ k)^2\ =\ r^2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ Ax\ +\ By\ =\ C\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\"> is any real constant > 0.</i>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The answer is the same, but the general case illustrates all three possibilities.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );