document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179445>Question 179445</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I hate fractions. I think I understand absolute value enough but when you throw fractions into the mix I get confused. This problem also has 2 fractions so im real confused.\r<BR>\n" );
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document.write( "this is the problem   |x-1/3|=|1/2x+1/6|\r<BR>\n" );
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document.write( "x-1/3=1/2x+1/6<BR>\n" );
document.write( " First I subtract 1/3 from each side to get<BR>\n" );
document.write( "x=1/2x+1/9<BR>\n" );
document.write( " then I subtract the 1/2x from both sides to get<BR>\n" );
document.write( "1/2x=1/9<BR>\n" );
document.write( " this is where i get confused. if i divide by the 1/2 i get 2/9. but my books says the answer is 1 ----so where did i go wrong. I know there is another side to the problem still,but if I cant get the first half then?????? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134379 by </B><A HREF=/tutors/aboutme.mpl?userid=MissionPossible><B>MissionPossible(18)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MissionPossible><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=134379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You made the mistake.<BR>\n" );
document.write( "this is the problem |x-1/3|=|1/2x+1/6| <BR>\n" );
document.write( "x-1/3=1/2x+1/6  ------>This is wrong.<BR>\n" );
document.write( "You can not just pull it out from the absolute<BR>\n" );
document.write( "The theory is   If |A|=|B|  Then ---> A^2 = B^2<BR>\n" );
document.write( "|x-1/3|=|1/2x+1/6|  -----> (x-1/3)^2 = (1/2x+1/6)^2<BR>\n" );
document.write( "(x-1/3)^2 = (1/2x+1/6)^2<BR>\n" );
document.write( "x^2 -(2/3)x + (1/9)  = (1/4)x^2 +(1/6)x + (1/36)-------(1)<BR>\n" );
document.write( "36 * Eq(1)<BR>\n" );
document.write( "36x^2 - 24x + 4 = 9x^2 + 6x + 1<BR>\n" );
document.write( "27x^2 - 30x + 3 = 0<BR>\n" );
document.write( "divide by 3<BR>\n" );
document.write( "9x^2 - 10x + 1 = 0<BR>\n" );
document.write( "(9x -1 )(x-1) = 0<BR>\n" );
document.write( "Then x = 1/9  ,  1  Ans.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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