determine which of the following ordered pairs is a solution to the equation 3x-8=-4y

(0, -2)

(1, 1)

(-1, 1)

(0, 2)

1 answer

To check if an ordered pair is a solution to the equation 3x - 8 = -4y, we need to substitute the values of x and y from the ordered pair into the equation and see if both sides of the equation are equal.

Let's check each option:

(0, -2):
3(0) - 8 = -4(-2)
0 - 8 = 8
-8 = 8
The equation is not satisfied. (0, -2) is not a solution.

(1, 1):
3(1) - 8 = -4(1)
3 - 8 = -4
-5 = -4
The equation is not satisfied. (1, 1) is not a solution.

(-1, 1):
3(-1) - 8 = -4(1)
-3 - 8 = -4
-11 = -4
The equation is not satisfied. (-1, 1) is not a solution.

(0, 2):
3(0) - 8 = -4(2)
0 - 8 = -8
-8 = -8
The equation is satisfied. (0, 2) is a solution.

Therefore, the ordered pair (0, 2) is a solution to the equation 3x - 8 = -4y.