Question

find the value of x if. (x+b)/(a+b)=(x-b)/(a-b)​

Answer 1

Answer:

a

Step-by-step explanation:

By cross multiplication

(x+b)(a-b) =(x-b) (a+b)

xa-xb+ab-b^2=ax-ab+bx-b^2

2ab=2bx

x=a

Answer 2

Answer:

I hope it will help you

Step-by-step explanation:

$\frac{x + b}{a + b} = \frac{x - b }{a - b} \\ = > (x + b)(a - b) = (x - b)(a + b) \\ = > ax - bx + ab - {b}^{2} = ax + bx - ab - {b}^{2} \\ cancelling \: equal \: factors \: we \: get \\ = > - bx + ab = bx - ab \\ = > bx + bx = ab + ab \\ = > 2bx = 2ab \\ = > bx = ab \\ = > x = \frac{ab}{b} \\ = > x = a$