Question

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

Answer 1

To determine which of the ordered pairs is a solution to the equation \( 3x - 8 = -4y \), we can substitute each pair into the equation and check if both sides are equal.

Let's check each ordered pair:

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

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

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

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

Thus, the ordered pair \( (0, 2) \) is a solution to the equation \( 3x - 8 = -4y \).