To determine which ordered pairs satisfy the equation \( 3x - 8 = -4y \), we need to substitute the \( x \) and \( y \) values from each ordered pair into the equation and see if it holds true.
A: (0, -2)
Substituting \( x = 0 \) and \( y = -2 \): \[ 3(0) - 8 = -4(-2) \ -8 = 8 \quad \text{(False)} \]
B: (-1, 1)
Substituting \( x = -1 \) and \( y = 1 \): \[ 3(-1) - 8 = -4(1) \ -3 - 8 = -4 \ -11 = -4 \quad \text{(False)} \]
C: (1, 1)
Substituting \( x = 1 \) and \( y = 1 \): \[ 3(1) - 8 = -4(1) \ 3 - 8 = -4 \ -5 = -4 \quad \text{(False)} \]
D: (0, 2)
Substituting \( x = 0 \) and \( y = 2 \): \[ 3(0) - 8 = -4(2) \ -8 = -8 \quad \text{(True)} \]
The only ordered pair that satisfies the equation \( 3x - 8 = -4y \) is D: (0, 2).
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