Question

3x-8=-4y (which of the following are a solution?)
(0, -2)
(0, 2)
(1, 1)
(-1, 1)

Answer 1

To determine which of the given pairs \((x, y)\) are solutions to the equation \(3x - 8 = -4y\), we can substitute each pair into the equation and check if the equation holds true.

1. For \((0, -2)\):
\[
3(0) - 8 = -4(-2) \\
-8 = 8 \quad \text{(Not a solution)}
\]

2. For \((0, 2)\):
\[
3(0) - 8 = -4(2) \\
-8 = -8 \quad \text{(This is a solution)}
\]

3. For \((1, 1)\):
\[
3(1) - 8 = -4(1) \\
3 - 8 = -4 \\
-5 = -4 \quad \text{(Not a solution)}
\]

4. For \((-1, 1)\):
\[
3(-1) - 8 = -4(1) \\
-3 - 8 = -4 \\
-11 = -4 \quad \text{(Not a solution)}
\]

Thus, the only solution among the given pairs is \((0, 2)\).