Question

Solve the following:-
3/x-1 - 2/x-2 = 1/x-3​

Answer 1

Step-by-step explanation:

(3(x-2) -2(x-1))/(x-1)(x-2) = 1/(x-3)

(3x-6-3x+2)/(x^2-3x+2)= 1/(x-3)

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

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

x^2-7x+12= x^2-3x+2

-4x= -10

X=10/4

=5/2

Answer 2

Step-by-step explanation:

3(X-2)-2(X-1)/(X-1)(X-2)=1/X-3

3X-6-2X+2/(X-1)(X-2)=1/X-3

X+4/(X-1) (X-2) =1/X-3

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

X sq. -3X+4X-12=X sq. -2X-X+2

X sq. +X-12=X sq. -3X+2

X+3X=2+12

4X=14

So, X=14/4

=7/2

=3 1/2