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Thread: How to solve p when p/q - 3

  1. #1
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    How to solve p when p/q - 3

    Hi,

    I have another problem that requires a fresh pair of eyes.

    given that p/q - 3 =p, find p

    my working so far

    p/q - 3 = p

    p/q - p = 3

    (p - pq)/q = 3

    p - pq = 3q

    p = 3q + pq


    I stopped right at p = 3q + pq. Checked the answer and it turned out to be

    3q/ 1 + {q}^{2 }

    How do I simplify p = 3q + pq to the answer above? can anyone show me step by step how it is done?

    many thanks.
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  2. #2
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    You are correct up to p - pq = 3q. Now take out the common factor in the LHS so that you can isolate p.
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  3. #3
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    Great hint! manage to finish this problem and got the right answer..
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