SOLUTION: Solve. 1/x-6 + 7 = 8/x-6

Algebra ->  Equations -> SOLUTION: Solve. 1/x-6 + 7 = 8/x-6      Log On


   

Question 97939: Solve.
1/x-6 + 7 = 8/x-6
Found 2 solutions by anjali_yamini, jim_thompson5910:
Answer by anjali_yamini(27) About Me  (Show Source):
You can put this solution on YOUR website!

(1/x)-6+7 = (8/x)-6
-6+7+6 = (8/x)-(1/x)
7 = 7/x
7/7 = x
1 = x

check :
(1/x)-6+7
= (1/1)-6+7
= 1+1
= 2

(8/x) - 6
=(8/1)-6
= 8-6
= 2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28x-6%29+%2B+7+=+8%2F%28x-6%29 Start with the given equation

%28x-6%29%281%2F%28x-6%29+%2B+7%29=+%28x-6%29%288%2F%28x-6%29%29 Multiply both sides by the LCD x-6


1+%2B+7%28x-6%29=+8 Distribute and multiply



1+%2B+7x-42=+8 Distribute and multiply again



7x-41=8 Combine like terms on the left side


7x=8%2B41Add 41 to both sides


7x=49 Combine like terms on the right side


x=%2849%29%2F%287%29 Divide both sides by 7 to isolate x



x=7 Divide

--------------------------------------------------------------
Answer:
So our answer is x=7