algebra

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I need help with the linear equation:
10 - 0.5y = 1.5x and y = 0.5(6x + 40)

  • algebra -

    10 - 0.5y = 1.5x
    -1.5x - 0.5y = -10
    Multiply both sides by -2:
    Eq1: 3x + y = 20

    y = 0.5(6x+40)
    y = 3x + 20
    Eq2: -3x + y = 20
    Add Eq1 and Eq2:
    2y = 40
    Y = 20

    In Eq1. replace y with 20:
    3x + 20 = 20
    3x = 20-20 = 0
    X = 0.

    Solution Set: (x,Y) = (0,20).

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