Question

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

Answer 1

To determine which two expressions are equivalent, we can simplify and compare each option. The expressions given are:

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

Let's analyze the expressions:

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

2. **\(7y - 3x\)**
This can be rearranged to \(-3x + 7y\) (since addition is commutative). Thus, this expression is equivalent to the first one.

3. **\(-7y - 3x\)**
This is a different expression and has a different sign, so it is not equivalent to the first two.

4. **\(-7y + 3x\)**
This has different terms and signs from the first two expressions, so it is not equivalent.

The two equivalent expressions are:

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

So, the correct answers are:
- \(-3x + 7y\)
- \(7y - 3x\)