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

A. (-1, 1)
B. (0. -2)
C. (0, 2)
D. (1, 1)

1 answer

To determine which ordered pair is a solution to the equation, we substitute the values into the equation and check if the equation is satisfied.

For option A (-1, 1):
3(-1) - 8 = -4(1)
-3 - 8 = -4
-11 = -4 (False)

For option B (0, -2):
3(0) - 8 = -4(-2)
0 - 8 = 8
-8 = -8 (True)

For option C (0, 2):
3(0) - 8 = -4(2)
0 - 8 = -8
-8 = -8 (True)

For option D (1, 1):
3(1) - 8 = -4(1)
3 - 8 = -4
-5 = -4 (False)

The ordered pairs that are solutions to the equation are option B (0, -2) and option C (0, 2).