Question

X+b/a-b=x-b/a+b value is

Answer 1

2bx=-2ab

bx=-2ab/2

bx=-ab

x=-a

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Answer 2

Solution:

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

Do the cross multiplication, we get

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

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

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

=> x[a+b-(a-b)]=(-b)[a-b+a+b]

=> x(a+b-a+b)= (-b)(2a)

=> 2bx = -2ab

=> x = (-2ab)/(2b)

After cancellation, we get

=> x = -a

Therefore,

x = -a

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