Answer:
x = 3
y = 2
z = -3
Step-by-step explanation:
L1 x + 2y + z = 4
L2 2x - y + 4z = - 8
L3 - 3x + y - 2z = - 1
2L1 - L2
2x + 4y + 2z = 8
-2x + y - 4z = 8
------------------------------
5y - 2z = 16 L4
3L1 + L3
3x + 6y + 3z = 12
-3x + y - 2z = -1
-----------------------------
7y + z = 11 L5
L4 + 2L5
5y - 2z = 16
14y + 2z = 22
--------------------------
19y = 38
y = 38 / 19
y = 2
7y + z = 11
7(2) + z = 11
14 + z = 11
z = 11 - 14
z = -3
x + 2y + z = 4
x + 2(2) + (-3) = 4
x + 4 - 3 = 4
x + 1 = 4
x = 4 - 1
x = 3
