Explanation:
the second equation gives us right away
y = 4 - 3x
we can use that now in the 3rd equation :
-2(4 - 3x) + 2z = 4
-8 + 6x + 2z = 4
6x + 2z = 12
3x + z = 6
z = 6 - 3x
now we use both in the 1st equation :
-2x + 3(4 - 3x) - (6 - 3x) = -2
-2x + 12 - 9x - 6 + 3x = -2
-8x + 6 = -2
-8x = -8
x = 1
y = 4 - 3x = 4 - 3×1 = 4 - 3 = 1
z = 6 - 3x = 6 - 3×1 = 6 - 3 = 3
so,
(1, 1, 3)