Subtract: (2u−7y)−(7u+2y)

Question

.(1 point)
Responses

5u−5y
5 u minus 5 y

−5u−9y
negative 5 u minus 9 y

−5u−5y
negative 5 u minus 5 y

5u−9y

Answer 1

To simplify the expression \((2u - 7y) - (7u + 2y)\), we can distribute the negative sign to the second set of parentheses:

\[ (2u - 7y) - 7u - 2y \]

Now, we combine like terms. First, we'll combine the \(u\) terms:

\[ 2u - 7u = -5u \]

Next, we'll combine the \(y\) terms:

\[ -7y - 2y = -9y \]

Putting it all together, we get:

\[ -5u - 9y \]

Thus, the answer is:

\[ \boxed{-5u - 9y} \]

So the correct response from your options is "negative 5 u minus 9 y".