Question

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

5u−9y
5 u minus 9 y

5u−5y
5 u minus 5 y

−5u−5y
negative 5 u minus 5 y

−5u−9y

Answer 1

To subtract \((2u−7y)−(7u+2y)\), we can distribute the negative sign across the second expression:

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

Now, we combine like terms:

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

Putting it all together, we get:

\[
-5u - 9y
\]

So the final result is:

\(-5u - 9y\)

The correct response from your options is:

\(-5u−9y\)