Math 116

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Identify the solution (s) of the system of equations, if any.
x+3y=5
6x-6y=14

a. (3,3/2)
b.(3,2/3)
c.(3/2,3)
d. (2/3,3)

  • Math 116 -

    Multiply Eq1 by -6:
    -6x - 18y = -30
    +6x - 6y = 14
    Add the Eqs:
    -24y = -16
    Y = 2/3.

    In Eq1, replace Y with 2/3:
    x + 3*2/3 = 5
    x + 2 = 5
    X = 3.

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