SOLUTION: Solve. 1-t/9-t = 8/t-9

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Question 197565: Solve.
1-t/9-t = 8/t-9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281-t%29%2F%289-t%29=8%2F%28t-9%29 Start with the given equation.


Take note that t%3C%3E9 since this causes a division by zero.


%281-t%29%28t-9%29=8%289-t%29 Cross multiply


t-9-t%5E2%2B9t=8%289-t%29 FOIL


t-9-t%5E2%2B9t=72-8t Distribute


t-9-t%5E2%2B9t-72%2B8t=0 Get everything to one side


-t%5E2%2B18t-81=0 Combine like terms.


t%5E2-18t%2B81=0 Multiply EVERY term by -1 to make the leading coefficient positive.


%28t-9%29%5E2=0 Factor


t-9=0 Take the square root of both sides


t=9 Add 9 to both sides.


So the possible solution is t=9.



However, we said earlier that t%3C%3E9, so t=9 is NOT a solution (it's not in the domain).


So there are no solutions.