Question

Select the%C2%A0two%C2%A0expressions that are equivalent.(2 points) Responses 3x−7y 3 x minus 7 y −7y+3x negative 7 y plus 3 x −7y−3x negative 7 y minus 3 x 7y−3x

Answer 1

To determine which expressions are equivalent, we can simplify or rearrange the given options.

The expressions provided are:

1. \(3x - 7y\)
2. \(-7y + 3x\)
3. \(-7y - 3x\)
4. \(7y - 3x\)

Now, let's analyze them:

1. The first expression is \(3x - 7y\).
2. The second expression \(-7y + 3x\) is the same as \(3x - 7y\) because addition is commutative (\(a + b = b + a\)).
3. The third expression \(-7y - 3x\) is not equivalent to the first.
4. The fourth expression \(7y - 3x\) is also not equivalent to the first.

Based on this analysis, the two equivalent expressions are:

- \(3x - 7y\)
- \(-7y + 3x\)

These two expressions are indeed equivalent.