2x + 3y = -12
Select all that apply
A. 0, -4
B. 2, -1
C. 0, 0
D. -6, 0
To find the solutions to the equation 2x + 3y = -12, we can substitute in the given values and check if the equation holds true.
For option A, when x = 0 and y = -4:
2(0) + 3(-4) = 0 - 12 = -12
Since -12 = -12, option A is a solution to the equation.
For option B, when x = 2 and y = -1:
2(2) + 3(-1) = 4 - 3 = 1
Since 1 ≠ -12, option B is not a solution to the equation.
For option C, when x = 0 and y = 0:
2(0) + 3(0) = 0 + 0 = 0
Since 0 ≠ -12, option C is not a solution to the equation.
For option D, when x = -6 and y = 0:
2(-6) + 3(0) = -12 + 0 = -12
Since -12 = -12, option D is a solution to the equation.
Therefore, options A and D are the solutions to the equation 2x + 3y = -12.