Answer:
(6,-1,1)
Step-by-step explanation:
First pair two of the equations together twice:
I chose x+y+z=6 and x-y+z=8
Used the elimination method and eliminated the y's and got x+z=7
Then I took another pair of equations x+y+z=6 and x-y-z=0
Using the elimination method I once again eliminated the y's (and z's) and got x=6
I then plugged x=6 into x+z=7 and got that z=1
I then plugged x=6 and z=1 into the original equation x+y+z and got y=-1
Thus, x=6 7=-1 z=1 and in coordinate form (6,-1,1).