SOLUTION: (t-a)/(a) +(t-b)/(b) =1 make t the subject of the equation

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Question 214621: (t-a)/(a) +(t-b)/(b) =1 make t the subject of the equation
Answer by math problem solving(30) About Me  (Show Source):
You can put this solution on YOUR website!
We are required to solve the equation for t.
%28t-a%29%2F%28a%29+%2B%28t-b%29%2F%28b%29+=1
b%28t-a%29%2Ba%28t-b%29=ab ................ multiply both sides by ab
bt+-ab%2Bat-ab=ab
bt%2Bat=3ab
%28a%2Bb%29t=3ab
t=%283ab%29%2F%28a%2Bb%29 ............. divide both sides by (a+b)