document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=141118>Question 141118</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you know when an equation has an infinitely number of solutions or when an equation has no solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102787 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=102787\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An equation has infinitely many solutions when, in the process of solving for the variable, you come down to a statement (for example, 0=0) that is ALWAYS TRUE.  In math, this is called an IDENTITY.  \r<BR>\n" );
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document.write( "An equation has NO SOLUTIONS when, in the process of solving for the variable, all of the variables subtract out, and you get a statement (for example, 0=3)that is NEVER TRUE.  This is called a CONTRADICTION.  \r<BR>\n" );
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document.write( "R^2 </SPAN>\n" );
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