Question

Select the order pairs that are solutions to the equation below
2x+3y=—12

(0,-4)
(2,-1)
(0, 0)
(—6,0)

Answer 1

To determine which of the ordered pairs are solutions to the equation, we can substitute the values of x and y into the equation and see if it holds true.

Using the ordered pair (0,-4):
2(0) + 3(-4) = 0 + (-12) = -12
Since -12 equals -12, the equation holds true for (0,-4).

Using the ordered pair (2,-1):
2(2) + 3(-1) = 4 + (-3) = 1
Since 1 does not equal -12, the equation does not hold true for (2,-1).

Using the ordered pair (0,0):
2(0) + 3(0) = 0 + 0 = 0
Since 0 does not equal -12, the equation does not hold true for (0,0).

Using the ordered pair (—6,0):
2(-6) + 3(0) = -12 + 0 = -12
Since -12 equals -12, the equation holds true for (—6,0).

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