document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=401231>Question 401231</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you know when an equation has an infinite number of solutions? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #283944 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=283944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The graphs intersecting at infinitely many points is one way to tell. For example, the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29+=+cos%28x%29 ALIGN=MIDDLE  ALT=\"sin%28x%29+=+cos%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > has infinitely many solutions because the graphs intersect at infinitely many points:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C+100%2C+-10%2C+10%2C+-3%2C+3%2C+sin%28x%29%2C+cos%28x%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C+100%2C+-10%2C+10%2C+-3%2C+3%2C+sin%28x%29%2C+cos%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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