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:
\(-5u−9y\)