matrix

Determine if the following systems are consistent or not. If so, pls give the general solutions. Otherwise, give the resons.

The augmented matrix is
3 -4 2 0
-9 12 -6 0
-6 8 -4 0
R(1)*3+R(2),R(1)*(-2)+R(3) the matrix becomes
3 -4 2 0
0 0 0 0
0 0 0 0
So the system is consistent
The equation is 3x-4y+2z=0
let y=s, z=t then x=(4s-2t)/3
So, the general solution is
(x,y,z)=(4/3,1,0)s+(-2/3,0,1)t
where s and t are real numbers