SOLUTION: Hello, I'm having difficulty solving this formula. Solve for a: t/a + t/b = 1 Thank you.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Hello, I'm having difficulty solving this formula. Solve for a: t/a + t/b = 1 Thank you.      Log On


   

Question 962375: Hello, I'm having difficulty solving this formula.
Solve for a: t/a + t/b = 1
Thank you.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for a: t%2Fa+%2B+t%2Fb+=+1
multiply by ab
ab*t%2Fa + ab*t%2Fb = ab
Cancel the denominators
bt + at = ab
at - ab = -bt
factor out a
a(t-b) = -bt
divide by (t-b)
a = %28-bt%29%2F%28%28t-b%29%29