Subtract: (2u−7y)−(7u+2y)

Question

.(1 point)
Responses

−5u−9y
negative 5 u minus 9 y

5u−9y
5 u minus 9 y

−5u−5y
negative 5 u minus 5 y

5u−5y

Answer 1

To simplify the expression \((2u - 7y) - (7u + 2y)\), we follow these steps:

1. Distribute the negative sign across the second set of parentheses: \[ (2u - 7y) - (7u + 2y) = 2u - 7y - 7u - 2y \]

2. Combine like terms:

   • For the \(u\) terms: \(2u - 7u = -5u\)
   • For the \(y\) terms: \(-7y - 2y = -9y\)

Thus, combining everything gives: \[ -5u - 9y \]

The correct answer is: −5u−9y (negative 5 u minus 9 y).