Algbra 2

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If Z varies directly as X and inversely as Y, and Z = 9, when X = 5 and Y = 3, find X when Z = 18 and Y = 6

  • Algbra 2 -

    "If Z varies directly as X and inversely as Y" ---> z =k(x/y)

    when z=9, x=5,y=3
    9 = k(5/3)
    5k = 27
    k = 27/5

    So we have z = (27/5)(x/y)

    for z=18, y = 6
    18 = (27/5)(x/6)
    27x = 540
    x = 20

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