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Select the two expressions that are equivalent. (2 points)

7у - 3х
3х - 7у
-7у -3x
-7у +3x

1 answer

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