algebra 1

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solve by substitution.
0.5x+0.25y=36
y+18=16x

  • algebra 1 -

    y + 18 = 16 x


    y = 16 x - 18
    ______________





    0.5 x + 0.25 y = 36

    x / 2 + y / 4 = 36 Multiply both sides with 4

    4 x / 2 + 4 y / 4 = 36 4

    2 x + y = 144



    2 x + 16 x - 18 = 144

    18 x = 144 + 18

    18 x = 162 Divide both sides with 18

    x = 162 / 18

    x = 9



    y = 16 x -18

    y = 16 9 - 18

    y = 144 - 18

    y = 126

    Solutions :

    x = 9 , y = 126
    Proof :

    0.5 x + 0.25 y = 36

    x / 2 + y / 4 =

    9 / 2 + 126 / 4 =

    18 / 4 + 126 / 4 =

    144 / 4 = 36



    y + 18 = 16x

    126 + 18 = 16 9

    144 = 144

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