Question

Solve 4 over x minus 4 equals the quantity of x over x minus 4, minus four thirds for x and determine if the solution is extraneous or not.

Answer 1

     4                x            4
 --------  = ----------  -    ---
  x - 4         x - 4            3

multiply through by 3(x-4):-

12 =  3x - 4(x-4)

12 = 3x - 4x + 16

--4 = -x

x = 4

What do we get if we substitute 4 for x in the original equation?