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Select the two expressions 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 plus 3 x

−7y−3x

1 answer

To determine which two expressions are equivalent, let's examine each option.

  1. −3x + 7y
  2. 7y − 3x: This can be rewritten as 7y + (-3x), which is the same as the first expression since the order of addition does not change the sum.
  3. −7y + 3x: This is the negative of both terms, hence not equivalent to the first two.
  4. −7y − 3x: This is also different, as both terms are negated.

The two equivalent expressions are:

  • −3x + 7y
  • 7y − 3x

These two expressions represent the same relationship.