Question

etermine 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

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

(0,2)

Answer 1

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

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

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

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

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

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