document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133919>Question 133919</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello the section im working on is on solving rational equations. I dont understand this one im working on.<BR>\n" );
document.write( "Here it is\r<BR>\n" );
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document.write( "x/x-1 + x = 4x-3/x-1\r<BR>\n" );
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document.write( "Thanks for the help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98161 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrapro18><B>algebrapro18(249)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrapro18><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=98161\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well first you need to get a common denominator.  Since 2/3 of the fractions have a denominator of x-1 that will be your common denominator.  So multiply everything by x-1 and the denominator cancles off leaving you with.<br>\r<BR>\n" );
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document.write( "x+x(x-1)=4x-3<br>\r<BR>\n" );
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document.write( "now just solve:<br><BR>\n" );
document.write( "x+x(x-1)=4x-3 --> Distribute the x<BR>\n" );
document.write( "x + x^2 - x = 4x - 3 --> Collect like terms on left hand side<BR>\n" );
document.write( "x^2 - 4x + 3 = 0 --> Factor<BR>\n" );
document.write( "(x-1)(x-3) = 0 --> Set each factor equal to zero and solve<BR>\n" );
document.write( "x = 1 and x = 3<br>\r<BR>\n" );
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document.write( "Now lets check our solutions <br>\r<BR>\n" );
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document.write( "x/x-1 + x = 4x-3/x-1<br>\r<BR>\n" );
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document.write( "when x = 1 you get <br>\r<BR>\n" );
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document.write( "1/1-1 + 1 = 4-3/1-1 well since you can't divide by zero we know that x = 1 is a extraneous answer.<br>\r<BR>\n" );
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document.write( "when x = 3 you get <br>\r<BR>\n" );
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document.write( "3/3-1 + 3 = 4(3)-3/3-1 <BR>\n" );
document.write( "3/2 + 3 = 12-3/2<BR>\n" );
document.write( "3/2 + 3 = 9/2<BR>\n" );
document.write( "9/2 = 9/2 <br>\r<BR>\n" );
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document.write( "that one checks out.   </SPAN>\n" );
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