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

Question

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.