z/w=x+z/x+y for z

Discussion in 'Calculator Requests' started by math_celebrity, Jul 4, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    z/w=x+z/x+y for z

    This is a literal equation. Let's isolate z on one side.

    Subtract z/x from each side.
    z/w - z/x = x + y

    Factor our z on the left side:
    z(1/w - 1/x) = x + y

    Divide each side by (1/w - 1/x)
    z = x + y/(1/w - 1/x)

    To remove reciprocals in the denominator, we rewrite 1/w - 1/x with a common denominator xw
    (x - w)/xw

    Then multiply x + y by the reciprocal
    z = (x + y)xw/(x - w)

Share This Page