Subtract: (2u−7y)−(7u+2y)

Question

.(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:

$-5u-9y$