Select the two expressions that are equivalent.

Question

Responses

-2y + 5x

-5x - 2y

2y - 5x

5x - 2y

Answer 1

To find two equivalent expressions among the given options, we need to look for expressions that can be transformed into one another.

Let's examine the options:

1. -2y + 5x
2. -5x - 2y
3. 2y - 5x
4. 5x - 2y

Now we can rewrite each expression and check for equivalency:

1. -2y + 5x: This expression is in the form of \(5x - 2y\) (rearranging terms).
2. -5x - 2y: This can also be rewritten as \(- (5x + 2y)\); this expression has a different form.
3. 2y - 5x: This is equivalent to \(- (5x - 2y)\); this has a different form as well.
4. 5x - 2y: This is the same as the rearranged version of the first expression.

Thus, the equivalent expressions are:

• -2y + 5x
• 5x - 2y

So, the two expressions that are equivalent are:

• -2y + 5x
• 5x - 2y