2x+3y=−12 order pairs

(0,-4)
(2,-1)
(0,0)
(6,0)

1 answer

To check if the given ordered pairs are solutions to the equation 2x + 3y = -12, we substitute the values of x and y into the equation and see if it holds true.

1) For (0, -4):
2(0) + 3(-4) = -12
0 - 12 = -12
-12 = -12
The equation is true for (0, -4).

2) For (2, -1):
2(2) + 3(-1) = -12
4 - 3 = -12
1 ≠ -12
The equation is not true for (2, -1).

3) For (0, 0):
2(0) + 3(0) = -12
0 + 0 = -12
0 ≠ -12
The equation is not true for (0, 0).

4) For (6, 0):
2(6) + 3(0) = -12
12 + 0 = -12
12 ≠ -12
The equation is not true for (6, 0).

The ordered pair (0, -4) is the only solution to the equation 2x + 3y = -12.