9 divided by the sum of x and 4 is equal to 6 divided by x minus 4

Discussion in 'Calculator Requests' started by math_celebrity, Aug 7, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    9 divided by the sum of x and 4 is equal to 6 divided by x minus 4.

    Build our two algebraic expressions first:
    9 divided by the sum of x and 4
    9/(x + 4)

    6 divided by x minus 4
    6/(x - 4)

    The phrase is equal to means and equation, so we set the algebraic expressions equal to each other:
    9/(x + 4) = 6/(x - 4) <-- This is our algebraic expression

    If the problem asks you to solve for x, we cross multiply:
    9(x - 4) = 6(x + 4)

    To solve for x, we type this equation into our search engine and we get:
    x = 20
     

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