Question

Determine which of the following ordered pairs is a solution to the equation 3x - 8 = -4y.

A: (0, -2)

B: ( -1, 1)

C: (1,1)

D: (0,2 )

Answer 1

To determine which ordered pairs satisfy the equation \( 3x - 8 = -4y \), we need to substitute the \( x \) and \( y \) values from each ordered pair into the equation and see if it holds true.

### A: (0, -2)
Substituting \( x = 0 \) and \( y = -2 \):
\[
3(0) - 8 = -4(-2) \\
-8 = 8 \quad \text{(False)}
\]

### B: (-1, 1)
Substituting \( x = -1 \) and \( y = 1 \):
\[
3(-1) - 8 = -4(1) \\
-3 - 8 = -4 \\
-11 = -4 \quad \text{(False)}
\]

### C: (1, 1)
Substituting \( x = 1 \) and \( y = 1 \):
\[
3(1) - 8 = -4(1) \\
3 - 8 = -4 \\
-5 = -4 \quad \text{(False)}
\]

### D: (0, 2)
Substituting \( x = 0 \) and \( y = 2 \):
\[
3(0) - 8 = -4(2) \\
-8 = -8 \quad \text{(True)}
\]

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