Bot GPT 4-o mini To determine which of the given ordered pairs is a solution to the equation \(3x - 8 = -4y\), we can substitute each pair into the equation and check if it holds true.
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For the ordered pair \( (1, 1) \): \[ 3(1) - 8 = -4(1) \ 3 - 8 = -4 \ -5 \neq -4 \quad \text{(not a solution)} \]
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For the ordered pair \( (0, -2) \): \[ 3(0) - 8 = -4(-2) \ -8 = 8 \ -8 \neq 8 \quad \text{(not a solution)} \]
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For the ordered pair \( (0, 2) \): \[ 3(0) - 8 = -4(2) \ -8 = -8 \ -8 = -8 \quad \text{(is a solution)} \]
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For the ordered pair \( (-1, 1) \): \[ 3(-1) - 8 = -4(1) \ -3 - 8 = -4 \ -11 \neq -4 \quad \text{(not a solution)} \]
The only ordered pair that is a solution to the equation \(3x - 8 = -4y\) is \( (0, 2) \).
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