SOLUTION: t/a + t/b = 1; how would you solve for b?

Question 712190: t/a + t/b = 1; how would you solve for b?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
t/a + t/b = 1; how would you solve for b?
.
Starting from:
t/a + t/b = 1
we multiply both sides by ab to get rid of all denominators:
ab(t/a + t/b) = ab(1)
bt + at = ab
bt = ab-at
bt - ab = -at
factoring out the b from the left:
b(t - a) = -at
b = (-at)/(t-a)
or
b = (at)/(a-t)
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