Question

6. Solve the following equation: a/(b - x) = b/(a + x)​

Answer 1

Answer:

x=b-a

Step-by-step explanation:

a / b - x = b / a+ x

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

a2 + ax = b2 - bx

a2 - b2 = - ax - bx

(a - b) (a + b) = -ax -bx

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

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

(a - b) = -x

x = b - a

check

a / b - x = b / a + x

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

a / b - b + a = b / a + b - a

a / a = b / b

1 = 1