solving a system of linear equations
Solve the system of linear equations and interpret your solution geometrically:
 2x + y + 2z - 4 = 0
 x - y - z - 2 = 0
 x + 2y - 6z - 12 = 0
I keep getting really odd numbers with a lot of fractions whenever i try to solve for it.
First i eliminated x
 2x+y+2z-4=0  x-y-z-2=0
 - 2x-2y-2z-4=0  - x=2y-6z-12=0
 3y+4z=0  -3y+5z+10=0
then i eliminated y to solve for z
 + -3y+5z+10 = 0
then i solved for y
then i solved for x
so im guessing this means my point of intersection (0.371,1.48, -1.11)
im not sure if this is correct or if i missed anything, if anyone can give me their input i would really appreciate it. I'm not sure how to interpret it geometrically either.