Question

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

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

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

(0,−2)

Answer 1

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

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

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

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

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

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