Question

For each ordered pair, determine whether it is a solution to y = - 3x + 5.
(4, -7)
(-4, -49)
(6, 13)
(-7, 30)

Answer 1

To determine whether each ordered pair \((x, y)\) is a solution to the equation \(y = -3x + 5\), we can substitute the \(x\) value of each ordered pair into the equation and see if the resulting \(y\) value equals the \(y\) value from the ordered pair.

1. **For the pair (4, -7)**:
\[
y = -3(4) + 5 = -12 + 5 = -7
\]
The calculated \(y\) value is \(-7\), which matches the given \(y\) value.
**This is a solution.**

2. **For the pair (-4, -49)**:
\[
y = -3(-4) + 5 = 12 + 5 = 17
\]
The calculated \(y\) value is \(17\), which does not match \(-49\).
**This is not a solution.**

3. **For the pair (6, 13)**:
\[
y = -3(6) + 5 = -18 + 5 = -13
\]
The calculated \(y\) value is \(-13\), which does not match \(13\).
**This is not a solution.**

4. **For the pair (-7, 30)**:
\[
y = -3(-7) + 5 = 21 + 5 = 26
\]
The calculated \(y\) value is \(26\), which does not match \(30\).
**This is not a solution.**

**Summary**:
- (4, -7) - **Is a solution**
- (-4, -49) - **Is not a solution**
- (6, 13) - **Is not a solution**
- (-7, 30) - **Is not a solution**