Question

–3x+y=3.
Which ordered pairs are solutions to the equation? Select all that apply.

Answer 1

To find ordered pairs that are solutions to the equation \(-3x + y = 3\), we can rearrange the equation to express \(y\) in terms of \(x\):

\[
y = 3 + 3x
\]

Now we can substitute different values for \(x\) to find corresponding values for \(y\):

1. **If \(x = 0\)**:
\[
y = 3 + 3(0) = 3 \quad \Rightarrow \quad (0, 3)
\]

2. **If \(x = 1\)**:
\[
y = 3 + 3(1) = 6 \quad \Rightarrow \quad (1, 6)
\]

3. **If \(x = -1\)**:
\[
y = 3 + 3(-1) = 0 \quad \Rightarrow \quad (-1, 0)
\]

4. **If \(x = 2\)**:
\[
y = 3 + 3(2) = 9 \quad \Rightarrow \quad (2, 9)
\]

5. **If \(x = -2\)**:
\[
y = 3 + 3(-2) = -3 \quad \Rightarrow \quad (-2, -3)
\]

From these calculations, we have the following solutions (ordered pairs):

- \((0, 3)\)
- \((1, 6)\)
- \((-1, 0)\)
- \((2, 9)\)
- \((-2, -3)\)

You can select the ordered pairs from your options that match any of these solutions.