Question

x-y+2z=6
2x+y+z=3
x+y+z=2

Answer 1

add 1 and 2
3x + 3z = 9
x + z = 3..................a

add 1 and 3
2x + 3z = 8...............b

solvin a and b multiply a by 2:
2x + 2z = 6...............c
b - c:-
z = 2
plug z=2 in b:
2x + 6 = 8
x = 1
plug x=1 and z = 2
in first equation

1-y + 4 = 6
y = 1+ 4 - 6 = -1

solution is x=1, y = -1 and z = 2

Answer 2

ok with that ? the results check out ok