Question

Solve 3/x-2 - 2/x-3 = 4/x-3 - 3/x-1 with the full process with explanation​

Answer 1

Answer:

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

on taking L.C.M.-

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

3x-9-2x+4/(x-2)=4x-4-3x+9/(x-1)

x-5/x-2=x+5/x-1

(x-5)(x-1)=(x+5)(x-2)      

$x^{2}$-x-5x+5=$x^{2}$-2x+5x-10

-6x+5=3x-10

9x=15

x=5/3

Step-by-step explanation: