SOLUTION: a + b =1 a^-1 + b^-1 = 1 prove a = b and a^-1 = b^-1 I have that a = b / (b-1) b = 1-a plugging in b to a I get a = (1-a)/a set those equal (1-a)

Question 159161: a + b =1 a^-1 + b^-1 = 1 prove a = b and a^-1 = b^-1
I have that
a = b / (b-1)
b = 1-a
plugging in b to a
I get a = (1-a)/a
set those equal
(1-a)/a = b/(b-1)
can't solve any further
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm not sure if you have the right equations. If , then this means that becomes ===> which is NOT true for all values of "a". So double check the problem.
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