To determine which expressions are equivalent, we can simplify or rearrange the given options.
The expressions provided are:
- \(3x - 7y\)
- \(-7y + 3x\)
- \(-7y - 3x\)
- \(7y - 3x\)
Now, let's analyze them:
- The first expression is \(3x - 7y\).
- The second expression \(-7y + 3x\) is the same as \(3x - 7y\) because addition is commutative (\(a + b = b + a\)).
- The third expression \(-7y - 3x\) is not equivalent to the first.
- 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.