To determine which of the ordered pairs is a solution to the equation \( 3x - 8 = -4y \), we will substitute each pair into the equation and see if the equation holds true.
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For \( (0, -2) \): \[ 3(0) - 8 = -4(-2) \implies -8 = 8 \quad \text{(false)} \]
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For \( (-1, 1) \): \[ 3(-1) - 8 = -4(1) \implies -3 - 8 = -4 \implies -11 = -4 \quad \text{(false)} \]
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For \( (0, 2) \): \[ 3(0) - 8 = -4(2) \implies -8 = -8 \quad \text{(true)} \]
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For \( (1, 1) \): \[ 3(1) - 8 = -4(1) \implies 3 - 8 = -4 \implies -5 = -4 \quad \text{(false)} \]
The only ordered pair that is a solution to the equation \( 3x - 8 = -4y \) is \( (0, 2) \).