Select the ordered pair(s) that are solutions to equation below:
`2x+3y=-12`
a (0,-4)
b (2,-1)
c (0,0)
d (-6,0)
To find out which ordered pair(s) are solutions to the equation 2x + 3y = -12, plug the values of x and y into the equation and see if it satisfies the equation.
a) (0, -4):
2(0) + 3(-4) = -12
0 - 12 = -12
-12 = -12
Since the equation is true, (0, -4) is a solution to the equation.
b) (2, -1):
2(2) + 3(-1) = -12
4 - 3 = -12
1 = -12
The equation is not satisfied by this pair, so (2, -1) is not a solution.
c) (0, 0):
2(0) + 3(0) = -12
0 + 0 = -12
0 = -12
This does not satisfy the equation, so (0, 0) is not a solution.
d) (-6, 0):
2(-6) + 3(0) = -12
-12 + 0 = -12
-12 = -12
As the equation is true for this pair, (-6, 0) is also a solution.
Therefore, the ordered pairs that are solutions to the equation 2x + 3y = -12 are a) (0, -4) and d) (-6, 0).