Question

(x-3)/(x-4)= (x-1)/(x+1)​

Answer 1

Answer:

x = 7/3

Step-by-step explanation:

(x-3)/(x-4)= (x-1)/(x+1)

=> (x-3) = ((x-1)(x-4))/(x+1) [multiplying both sides by (x-4)]

=> (x-3)(x+1) = (x-1)(x-4) [multiplying both sides by (x+1)]

=> x² - 2x - 3 = x² - 5x + 4

=> x² - 2x - 3 - x² + 5x - 4 = 0

3x - 7 = 0

3x = 7

x = 7/3

Answer 2

Answer:

2/3

Step-by-step explanation:

(x-3)/(x-4)= (x-1)/(x+1)

(x-3)(x+1)=(x-1)(x-4)

x^2-3x+x-3=x^2-x-4x+5

-2x+3=-5x+5

​3x=2

x=2/3