Question

Subtract: (2u−7y)−(7u+2y)
.(1 point)
Responses

5u−9y
5 u minus 9 y

5u−5y
5 u minus 5 y

−5u−9y
negative 5 u minus 9 y

−5u−5y

Answer 1

To subtract the expression \((2u - 7y) - (7u + 2y)\), we first distribute the negative sign to the second expression:

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

Next, we combine like terms:

For the \(u\) terms:
\[
2u - 7u = -5u
\]

For the \(y\) terms:
\[
-7y - 2y = -9y
\]

Now, we can put it all together:
\[
-5u - 9y
\]

So the final answer is:
\(\boxed{-5u - 9y}\)

This corresponds to the response "−5u−9y".