Question

For the equation x-2 /x+4 = x-3 /x+1. Find the value of x.​

Answer 1

x - 2 = x - 3 (1)

x + 4 = x + 1 (2)

Solving (1)

x - 2 = x - 3

x - x = -3 + 2

0 = - 1

= - 1

Solving (2)

x + 4 = x + 1

x - x = 1 - 4

0 = -3

= - 3

Answer 2

Step-by-step explanation:

x-2/x+4=x-3/x+1

(x-2) (x+1)=(x+4)(x-3)

x^2+x-2x-2=x^2-3x+4x-12

x^2-x-2=x^2+x-12

x^2-x^2-x-x=-12+2

-2x=-10

x=5