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Math Help - solve for p

  1. #1
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    Post solve for p

    a-p = (a+p)/b

    the answer is p = [a(b-1)] / (b+1) but I don't know how to get from the beginning to the solution.
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  2. #2
    MHF Contributor Unknown008's Avatar
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    a-p = \frac{a+p}{b}

    First remove the fractions:

    b(a-p) = a+p

    Expand:

    ab-bp = a+p

    Move the p to the same side and the other to the other side.

    p + bp = ab - a

    Factorise p and a:

    p(1+b)=a(b-1)

    Divide by (1+b) on both side to have p alone.

    p = \frac{a(b-1)}{1+b} or p = \frac{a(b-1)}{b+1}
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  3. #3
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    Thanks!!
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  4. #4
    MHF Contributor Unknown008's Avatar
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    You're welcome
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