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Math Help - Simple Linear equations

  1. #1
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    Simple Linear equations

    Hello I am having difficulties in solving this simple equation can someone help me please?
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    these are the steps I took: (the solution should be -1=0 ,false)
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    Thank's a lot
    Last edited by prasanna892892; September 22nd 2011 at 09:05 AM. Reason: link's doesn't work
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  2. #2
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    Re: Simple Linear equations

    There are multiple ways of thinking about this, but I'll do it in the way, given your solution, that it was "intended to be done".

    You can factor out an x in the numerator of the fraction. So we have

    (x-1) - \frac{x(x-1)}{x-1} = 0

    Then you can cancel to get


    (x-1)-x=0

    which implies

    -1=0
    Thus we have a contradiction, and there are no solutions.
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  3. #3
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    Re: Simple Linear equations

    thanks a lot for your answer so precise and fast, I often make careless mistakes ^^
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  4. #4
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    Re: Simple Linear equations

    step 2 in your solution needs correction
    \frac{(x-1)^2-x^2+x}{x-1} = 0
    but on solving it gives x = 1 which makes given equation undefined so no solution for it
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  5. #5
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    Re: Simple Linear equations

    Thank you very much, now I understand
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