Question

If a+c=2b, prove that a/(a-b) + c/(c-b) = 2​

Answer 1

$\frac{a}{a - b} + \frac{c}{c - b} = 2$

Answer 2

Step-by-step explanation:

Given, a+c=2b => c= 2b-a

replace c by 2b-a

a/(a-b)+c/(c-b) = a/(a-b)+(2b-a)/(2b-a-b)

= a/(a-b)+(2b-a)/(b-a)

= a/(a-b)+(a-2b)/(a-b)

= (a+a-2b)/(a-b)

= (2a-2b)/(a-b)

= 2(a-b)/(a-b)

= 2