Questions: Determine which of the following ordered pairs is a solution to the equation 3x-8=-4y. (1 point) (0,-2) (-1,1) (1,1) (0,2)

Solution Steps

To determine which ordered pair is a solution to the equation \(3x - 8 = -4y\), we need to substitute each pair \((x, y)\) into the equation and check if the equation holds true. If the left-hand side equals the right-hand side after substitution, then the pair is a solution.

We need to check each ordered pair \((x, y)\) against the equation \(3x - 8 = -4y\). The pairs to evaluate are:

1. \((0, -2)\)
2. \((-1, 1)\)
3. \((1, 1)\)
4. \((0, 2)\)

1. For \((0, -2)\): \[ 3(0) - 8 = -4(-2) \implies -8 = 8 \quad \text{(False)} \]

2. For \((-1, 1)\): \[ 3(-1) - 8 = -4(1) \implies -3 - 8 = -4 \quad \implies -11 = -4 \quad \text{(False)} \]

3. For \((1, 1)\): \[ 3(1) - 8 = -4(1) \implies 3 - 8 = -4 \quad \implies -5 = -4 \quad \text{(False)} \]

4. For \((0, 2)\): \[ 3(0) - 8 = -4(2) \implies -8 = -8 \quad \text{(True)} \]

The only ordered pair that satisfies the equation \(3x - 8 = -4y\) is \((0, 2)\).

Final Answer