Use row operations to solve the system.

x + y - z = - 3

3x - y + z = 11

x - 4y + 2 = - 14

x = 2, y = 7, z = 12

Step-by-step explanation:

x + y - z = - 3 (1)

3x - y + z = 11 (2)

x - 4y + z = - 14 (3)

add (1) and (2)

4x = 8 x = 2

add (1) and (3)

2x - 3y = - 17

2 (2) - 3y = - 17

-3y = - 17 - 4

-3y = - 21

y = 7

Find z using any equation

x + y - z = - 3

2 + 7 - z = - 3

9 - z = - 3

z = 12