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Math 116

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Identify the solution(s) of the system of equations, if any.
-6x-2y=12
4y=-12x-24

a. no solution
b. (0,-2)
c.(-2,0)
d.infinitely many solutions

  • Math 116 -

    Eq1:-6x - 2y = 12
    Eq2:12x - 4y = -24
    Multiply Eq1 by -4 and Eq2 by 2:
    24x + 8y = -48
    24x - 8y = -48
    Add the Eqs:
    48x = -96
    X = -2.

    In Eq1, replace X with -2:
    -6*(-2) - 2y = 12
    12 - 2y = 12
    -2y = 12-12 = 0
    Y = 0

    (-2,0).

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