SOLUTION: Please show me how to simplify this: 2 + 1/x-5 __________ 3- 2/x-5

Algebra ->  Radicals -> SOLUTION: Please show me how to simplify this: 2 + 1/x-5 __________ 3- 2/x-5      Log On


   



Question 41829: Please show me how to simplify this:
2 + 1/x-5
__________
3- 2/x-5

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
To simplify complex fractions, multiply top and bottom by the LCD...here that is x-5, so we get
2 + 1/x-5
__________
3- 2/x-5
which becomes
[2(x-5) + 1] / [3(x-5) - 2] =
(2x - 9) / (3x - 17)