To determine which of the ordered pairs is a solution to the equation \( 3x - 8 = -4y \), we will substitute each pair \((x, y)\) into the equation and check if both sides are equal.
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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 \((0, -2)\): \[ 3(0) - 8 = -4(-2) \] \[ -8 = 8 \] \[ -8 \neq 8 \quad \text{(Not a solution)} \]
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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 \((0, 2)\): \[ 3(0) - 8 = -4(2) \] \[ -8 = -8 \] \[ -8 = -8 \quad \text{(This is a solution)} \]
The ordered pair \((0, 2)\) is the only one that satisfies the equation. Thus, the solution is:
\((0, 2)\)