SOLUTION: Equations with fractions: Given the following term k = a+b/a-b, which of the following expresses a in terms of b and k? The answer choice is a = b(k+1)/k-1. I'm usually pr

Algebra ->  Equations -> SOLUTION: Equations with fractions: Given the following term k = a+b/a-b, which of the following expresses a in terms of b and k? The answer choice is a = b(k+1)/k-1. I'm usually pr      Log On


   



Question 1006592: Equations with fractions:
Given the following term k = a+b/a-b, which of the following expresses a in terms of b and k?
The answer choice is a = b(k+1)/k-1.
I'm usually pretty good with these, but I'm not getting this one at all.
My attempt: I cross multiply to get k(a-b) = a + b. I then isolate a on the right to get k(a-b) - b = a. From there, I'm stuck. I don't see any way to get to the answer choice.
Thanks for any help.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
k%28a-b%29=a%2Bb
ka-kb=a%2Bb----Distributive Property
ka-a-kb=b----Isolating a
ka-a=b%2Bkb
a%28k-1%29=b%2Bkb-----Combine like-terms
highlight%28a=%28b%2Bkb%29%2F%28k-1%29%29