2x - y + z = 6 ............ (1)

x - 3y + z = -2 ........... (2)

x + 2y - z = 3 ............. (3)

2x - y + z = 6

x - 3y + z = -2 _

x + 2y = 8 ................... (4)

2x - y + z = 6

x + 2y - z = 3 +

3x - 3y = 9 .................. (5)

x + 2y = 8 ............ ( ×3 )

3x - 3y = 9 ........... ( ×1 )

3x + 6y = 24

3x - 3y = 9 _

3y = 15

y = 15/3

y = 5

x + 2y = 8

x + 2•5 = 8

x + 10 = 8

x = 8 - 10

x = -2

x + 2y - z = 3

(-2) + 2•5 - z = 3

(-2) + 10 - z = 3

8 - z = 3

-z = 3 - 8

-z = -5

z = (-5)/(-1)

z = 5

Jadi, himpunan penyelesaian tersebut adalah {x, y, z} = {(-2), 5, 5}