1/a + 1/b = 1/2 for a

Discussion in 'Calculator Requests' started by math_celebrity, Jul 15, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    1/a + 1/b = 1/2 for a

    Subtract 1/b from each side to solve this literal equation:
    1/a + 1/b - 1/b = 1/2 - 1/b

    Cancel the 1/b on the left side, we get:
    1/a = 1/2 - 1/b

    Rewrite the right side, using 2b as a common denominator:
    1/a = (b - 2)/2b

    Cross multiply:
    a(b - 2) = 2b

    Divide each side by (b - 2)
    a = 2b/(b - 2)
     

Share This Page