SOLUTION: Solve for "a": a^-1 + b^-1 = 1 Thank you

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Question 705141: Solve for "a": a^-1 + b^-1 = 1
Thank you
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--

PROBLEM:
Solve for a.
a%5E%28-1%29%2Bb%5E%28-1%29=1

Recall that a%5E%28-1%29=1%2Fa, so
1%2Fa%2B1%2Fb=1

Subtract 1/b from both sides.
1%2Fa=1-1%2Fb

Rewrite the terms on the right side under a common denominator.
1%2Fa=%28b-1%29%2Fb

Invert the numerator and denominator on both sides of the equation.
a+=+b%2F%28b-1%29


That's it,
Ms.Figgy