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

Responses

−7y−3x
negative 7 y minus 3 x

−7y+3x
negative 7 y plus 3 x

−3x+7y
negative 3 x plus 7 y

7y−3x

1 answer

To find the two equivalent expressions, let's rewrite the responses clearly and compare:

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

Now, let's analyze the expressions:

  1. \(-7y - 3x\) (This is equivalent to \(-3x - 7y\))
  2. \(-7y + 3x\) (This is not equivalent to any of the other expressions)
  3. \(-3x + 7y\) (This can be rewritten as \(7y - 3x\))
  4. \(7y - 3x\) (This is equivalent to \(-3x + 7y\))

The two equivalent expressions are:

  • \(-3x + 7y\)
  • \(7y - 3x\)

So the selected equivalent expressions are:

  • \(-3x + 7y\)
  • \(7y - 3x\)