Question

Select the two expressions that are equivalent.(2 points)
Responses

7y−3x
7 y minus 3 x

−7y−3x
negative 7 y minus 3 x

3x−7y
3 x minus 7 y

−7y+3x

Answer 1

To determine which two expressions are equivalent, we can compare each pair and see if they can be simplified or rearranged to match the others.

1. **7y - 3x**:
- This expression is in the form of \(7y\) minus \(3x\).

2. **−7y - 3x**:
- This expression can be considered as \(-7y\) minus \(3x\), which is not equivalent to the first expression.

3. **3x - 7y**:
- This expression can be rearranged to \(-7y + 3x\) (or \(3x\) minus \(7y\)), but it does not match the first expression.

4. **−7y + 3x**:
- This is equivalent to \(3x - 7y\) as they are the same expression written differently due to the commutative property of addition.

The two equivalent expressions are:

- **3x - 7y**
- **−7y + 3x**

So, the correct responses are: **3x - 7y** and **−7y + 3x**.