Let's use long division to divide the expression (5x-9)/(x-6).
5
-------------
x - 6 | 5x - 9
First, divide 5x by x, which gives us 5. Then, multiply (x-6) by 5 to get 5x - 30. Subtract this from 5x - 9.
5
-------------
x - 6 | 5x - 9
- (5x - 30)
----------
21
The remainder is 21. So, the expression (5x-9)/(x-6) simplifies to 5 with a remainder of 21.
I hope that helps! Let me know if you have any other questions.
