Question

select all of the equations below that are equalivent to w + x = 33

(w + x) x -3 = -96
(w + x) x -2 = -66
(w + x) x -3 = -99
(w + x) x 2 = 62

Answer 1

To determine which equations are equivalent to \( w + x = 33 \), we can substitute \( w + x \) with 33 in each equation and see if they hold true.

1. **Equation 1:** \( (w + x) \times -3 = -96 \)

Substitute \( w + x = 33 \):
\[
33 \times -3 = -99 \quad \text{(not equal to -96)}
\]

2. **Equation 2:** \( (w + x) \times -2 = -66 \)

Substitute \( w + x = 33 \):
\[
33 \times -2 = -66 \quad \text{(this is true)}
\]

3. **Equation 3:** \( (w + x) \times -3 = -99 \)

Substitute \( w + x = 33 \):
\[
33 \times -3 = -99 \quad \text{(this is true)}
\]

4. **Equation 4:** \( (w + x) \times 2 = 62 \)

Substitute \( w + x = 33 \):
\[
33 \times 2 = 66 \quad \text{(not equal to 62)}
\]

### Conclusion
The equations that are equivalent to \( w + x = 33 \) are:
- \( (w + x) \times -2 = -66 \)
- \( (w + x) \times -3 = -99 \)