Question

The difference between 1/3 and 1/x is the same as the difference between 1/x and 1/2 Show that 2- x/ x-3 =2/3, solve2- x / x-3=2/3

Answer 1

Wrong again Mr. bot


1/3 - 1/x = 1/x - 1/2
1/3 + 1/2 = 2/x
5/6 = 2/x
5x = 12
x = 12/5

you must mean:
(2- x)/ (x-3) =2/3
2x - 6 = 6 - 3x
5x = 12
x = 12/5

Answer 2

2-x/x-3 = 2/3

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

2-x = 2(x-3)

2-x = 2x - 6

-x = -6

x = 6