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Math Help - Given that y = (x-a)/(x+b), express in terms of a, b and y

  1. #1
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    Given that y = (x-a)/(x+b), express in terms of a, b and y

    My working :

    y(x+b) = x-a
    yx + yb = x-a
    yx - x = -a - yb
    x(y-1) = -a - yb

    Answer x = (-a - yb)/(y-1)

    Do I need to further simplify?

    Thanks for the help
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: Given that y = (x-a)/(x+b), express in terms of a, b and y

    Quote Originally Posted by FailInMaths View Post
    Do I need to further simplify?
    More elegant : x=\frac{a+by}{1-y} or x=-b+\frac{a+b}{1-y} (euclidean division).
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  3. #3
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    Re: Given that y = (x-a)/(x+b), express in terms of a, b and y

    Quote Originally Posted by FernandoRevilla View Post
    More elegant : x=\frac{a+by}{1-y} or x=-b+\frac{a+b}{1-y} (euclidean division).
    Hmm but is my answer mathematically correct above? I get confuse and messed up often when I move around with negative numbers
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  4. #4
    MHF Contributor FernandoRevilla's Avatar
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    Re: Given that y = (x-a)/(x+b), express in terms of a, b and y

    Quote Originally Posted by FailInMaths View Post
    Hmm but is my answer mathematically correct above? I get confuse and messed up often when I move around with negative numbers
    Yes, your answer is correct.
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  5. #5
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    Re: Given that y = (x-a)/(x+b), express in terms of a, b and y

    Quote Originally Posted by FernandoRevilla View Post
    Yes, your answer is correct.
    Thanks! =)
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