Question

Solve 3 over x minus 3 equals the quantity of x over x minus 3, minus three-halves. for x and determine if the solution is extraneous or not.

Answer 1

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

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

`-6x -2x -x = 6`

`-9x=6`

`9x=6`

`x= (6)/(9)= (2)/(3)`