Question

Subtract: (2u−7y)−(7u+2y)
.(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".