document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=363716>Question 363716</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My question is How do you know 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 #259383 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=259383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When at some point in the solution you get a false statement.  For example, try solving <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x+-+5%29%2F3+=+x+-+2 ALIGN=MIDDLE  ALT=\"%283x+-+5%29%2F3+=+x+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Then by cross-multiplication, 3x-5 = 3x - 6, or -5 = -6, which is a false statement.  Thus the equation has no solution. </SPAN>\n" );
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