SOLUTION: Please help me solve this equation: {{{ t/(t-2)-1= 8/(t-1) }}}

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Question 305537: Please help me solve this equation: +t%2F%28t-2%29-1=+8%2F%28t-1%29+
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
t/(t-2)-1=8/(t-1)
(t-t+2)/(t-2)=8/(t-1)
2/(t-2)=8/(t-1)
8(t-2)=2(t-1)
8t-16=2t-2
8t-2t=-2+16
6t=14
t=14/6
t=7/3 ans.
Proof:
(7/3)/(7/3-2)-1=8/(7/3-1)
(7/3)/[(7-6)/3]-1=8(7-3)/3
(7/3)/[1/3]-1=8(4/3)
(7/3)*3/1)-1=8*3/4
7-1=2*3
6=6