SOLUTION: If x=a/b, a does not equal b, and b does not equal 0, find the value of (a+b)/(a-b) in terms of x.

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: If x=a/b, a does not equal b, and b does not equal 0, find the value of (a+b)/(a-b) in terms of x.      Log On


   

Question 903872: If x=a/b, a does not equal b, and b does not equal 0, find the value of (a+b)/(a-b) in terms of x.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x=a/b

bx = a

a = bx

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(a+b)/(a-b)

(bx+b)/(bx-b)

(b*(x+1))/(b*(x-1))

(x+1)/(x-1)

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So %28a%2Bb%29%2F%28a-b%29+=+%28x%2B1%29%2F%28x-1%29 when x=a%2Fb, a%3C%3Eb, b%3C%3E0