To determine which of the given ordered pairs is a solution to the equation \( 3x - 8 = -4y \), we can substitute the values of \( x \) and \( y \) from each pair into the equation and check if both sides are equal.
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For the pair \( (0, 2) \): \[ 3(0) - 8 = -4(2) \ -8 = -8 \quad \text{(True)} \]
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For the pair \( (0, -2) \): \[ 3(0) - 8 = -4(-2) \ -8 = 8 \quad \text{(False)} \]
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For the pair \( (1, 1) \): \[ 3(1) - 8 = -4(1) \ 3 - 8 = -4 \ -5 = -4 \quad \text{(False)} \]
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For the pair \( (-1, 1) \): \[ 3(-1) - 8 = -4(1) \ -3 - 8 = -4 \ -11 = -4 \quad \text{(False)} \]
The only ordered pair that satisfies the equation \( 3x - 8 = -4y \) is \( (0, 2) \).
Thus, the correct response is: (0, 2).