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 negative 2 right parenthesis

(−1,1)
left parenthesis negative 1 comma 1 right parenthesis

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

(1,1)

Answer 1

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

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

2. For \( (-1, 1) \):
\[
3(-1) - 8 = -4(1) \implies -3 - 8 = -4 \implies -11 = -4 \quad \text{(false)}
\]

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

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

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