Select the ordered pairs that are solutions to the equation below.

2x + 3y = -12
Select all that apply
A. (0,-4)
B. (2,-1)
C. (0,0)
D. (-6,0)

1 answer

To determine which ordered pairs are solutions to the equation 2x + 3y = -12, substitute the values of x and y into the equation and check if both sides are equal:

For option A: (0, -4)
2(0) + 3(-4) = 0 - 12 = -12.
This equation is true, so (0, -4) is a solution.

For option B: (2, -1)
2(2) + 3(-1) = 4 - 3 = 1.
This equation is not equal to -12, so (2, -1) is not a solution.

For option C: (0, 0)
2(0) + 3(0) = 0 + 0 = 0.
This equation is not equal to -12, so (0, 0) is not a solution.

For option D: (-6, 0)
2(-6) + 3(0) = -12 + 0 = -12.
This equation is true, so (-6, 0) is a solution.

Therefore, the ordered pairs that are solutions to the equation are A. (0, -4) and D. (-6, 0).
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