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Solve the literal equation for a

y=x(ab/a-b)

  • Math -

    Hi Helen, this is easy!

    Solving the literal equation for 'a' means expressing the equation in terms of a.

    Let us see the solutions step by step:
    a) Multiplying the denominator a-b with y gives : y(a-b) = xab

    b)Expanding the parentheses y(a-b) gives ya-yb = xab

    c)Since ya and xab have 'a', the equation is now rearranged as:
    ya-xab = yb

    d)Taking out the 'a' from ya-xab
    ya-xab = a(y-xb)

    e) a(y-xb) = yb
    a = yb/(y-xb)---> final answer

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