document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150785>Question 150785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3x/x-1 + 6x-9/x-1 -6 = 0\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110719 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=110719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Common denominator=x-1\r<BR>\n" );
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document.write( "3x/x-1 + 6x-9/x-1 -6 = 0<BR>\n" );
document.write( "becomes\r<BR>\n" );
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document.write( "3x/x-1  +  6x-9/x-1  -6(x-1)/x-1=0\r<BR>\n" );
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document.write( "Distribute the -6\r<BR>\n" );
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document.write( "3x/x-1  +  6x-9/x-1  -6x+6/x-1=0\r<BR>\n" );
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document.write( "Combine the numerators<BR>\n" );
document.write( "3x+6x-9-6x+6/x-1=0\r<BR>\n" );
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document.write( "Combine like terms in the numerator<BR>\n" );
document.write( "3x-3/x-1=0\r<BR>\n" );
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document.write( "0 over anything is zero, so the numerator must be equal to zero.  Eliminate the denominator.\r<BR>\n" );
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document.write( "3x-3=0\r<BR>\n" );
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document.write( "3x=3<BR>\n" );
document.write( "x=1\r<BR>\n" );
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document.write( "Notice if you plug this back into the original equation, or any of the ones before you eliminated the denominator, the denominator becomes 0.  That's undefined.  So there is no solution. </SPAN>\n" );
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