SOLUTION: Subtract. Simplify if possible. (4-y/y-6)-(4y-9)/6-y Please show work so I understand how you arrived at your answer. Thank you.

Algebra ->  Expressions-with-variables -> SOLUTION: Subtract. Simplify if possible. (4-y/y-6)-(4y-9)/6-y Please show work so I understand how you arrived at your answer. Thank you.      Log On


   

Question 522607: Subtract. Simplify if possible.
(4-y/y-6)-(4y-9)/6-y
Please show work so I understand how you arrived at your answer.
Thank you.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Subtract. Simplify if possible.
%284-y%29%2F%28y-6%29-%284y-9%29%2F%286-y%29
:
on the 2nd denominator we can factor out -1, to make the denominators the same
%284-y%29%2F%28y-6%29-%284y-9%29%2F-1%28y-6%29
:
this changes the sign so we have:
%284-y%29%2F%28y-6%29+%284y-9%29%2F%28y-6%29
:
the denominators are the same so we can write it, then combine like terms:
%28%284-y%29%2B%284y-9%29%29%2F%28y-6%29 = %284y-y%2B4-9%29%2F%28y-6%29 = %283y-5%29%2F%28y-6%29