Ahomogeneous linear system in 5 unknowns whose corresponding augmented matrix has a reduced row echelon form with 3 leading 1's will have free variables.

Columns without leading 1's in a reduced row-echelon form of the augmented matrix are called free variables. So, yes it will have 2 free variables corresponding to the two columns without leading 1. In homogeneous system it remains true.    

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

hiking down a winding trail.

step-by-step explanation: