To determine which of the ordered pairs is a solution to the equation \( 3x - 8 = -4y \), we will substitute the \( x \) and \( y \) values from each ordered pair into the equation and see if the equation holds true.
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For the 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 pair \( (0, 2) \): \[ 3(0) - 8 = -4(2) \] \[ -8 = -8 \quad (\text{This is a solution}) \]
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For the pair \( (-1, 1) \): \[ 3(-1) - 8 = -4(1) \] \[ -3 - 8 = -4 \] \[ -11 \neq -4 \quad (\text{Not a solution}) \]
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For the pair \( (0, -2) \): \[ 3(0) - 8 = -4(-2) \] \[ -8 = 8 \quad (\text{Not a solution}) \]
After checking all ordered pairs, we find that the only solution is:
(0, 2).