Question

Determine which of the following ordered pairs is a solution to the equation 3x−8=−4y .(1 point) Responses (1,1) left parenthesis 1 comma 1 right parenthesis (0,−2) left parenthesis 0 comma negative 2 right parenthesis (0,2) left parenthesis 0 comma 2 right parenthesis (−1,1)

Answer 1

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

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

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

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

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

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