Question

Determine which of the following ordered pairs is a solution to the equation 3x−8=−4y
.(1 point)
Responses

(0,2)
left parenthesis 0 comma 2 right parenthesis

(0,−2)
left parenthesis 0 comma negative 2 right parenthesis

(1,1)
left parenthesis 1 comma 1 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 the values of \( x \) and \( y \) from each pair into the equation and check if both sides are equal.

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

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

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

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

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

Thus, the correct response is:
**(0, 2)**.