Question

Select the ordered pair(s) that are solutions to the equation below:

2x+3y=-12

Select all that apply

0,-4
2,-1
0,0
-6,0

Answer 1

[AI-generated answer — Bot GPT 3.5]

To check if an ordered pair is a solution to the equation, substitute the values of x and y into the equation and see if it is true.

Let's check each ordered pair:

For the first pair (0, -4):
2(0) + 3(-4) = 0 + (-12) = -12
The equation is true, so (0, -4) is a solution.

For the second pair (2, -1):
2(2) + 3(-1) = 4 + (-3) = 1
The equation is NOT true since 1 is not equal to -12, so (2, -1) is NOT a solution.

For the third pair (0, 0):
2(0) + 3(0) = 0 + 0 = 0
The equation is NOT true since 0 is not equal to -12, so (0, 0) is NOT a solution.

For the fourth pair (-6, 0):
2(-6) + 3(0) = -12 + 0 = -12
The equation is true, so (-6, 0) is a solution.

The solutions to the equation 2x + 3y = -12 are:
(0, -4)
(-6, 0)