Question

Select the two expressions that are equivalent. (2 points)
7у - 3х
3х - 7у
-7у -3x
-7у +3x

Answer 1

To find the expressions that are equivalent, we need to simplify or rearrange them to see if they match.

Let's examine the given expressions:

1. **7y - 3x**
2. **3x - 7y**
3. **-7y - 3x**
4. **-7y + 3x**

We can try rearranging the second, third, and fourth expressions:

- The second expression can be written as:
\[
3x - 7y = -(7y - 3x)
\]
which indicates that it is the negative of the first expression.

- The third expression:
\[
-7y - 3x = -(7y + 3x)
\]
This isn't equivalent to any of the other expressions.

- The fourth expression:
\[
-7y + 3x = 3x - 7y
\]
which is again just a rearrangement of the second expression.

So, the pairs of equivalent expressions are:

- **3x - 7y** (Expression 2) is equivalent to **- (7y - 3x)** (Expression 1).
- **-7y + 3x** (Expression 4) is equivalent to **3x - 7y** (Expression 2).

Thus, the two expressions that are equivalent are:
1. **3x - 7y**
2. **-7y + 3x**