Himpunan penyelesain dari sistem persamaan: 2x-y+2z=12 x+y+z=2 3x+2y-z=8

y + 2z = 12
      y = 12 - 2z

x + y + z = 2
x + 12 - 2z + z = 2
x - z = -10
     x = -10 + z

3x + 2y - z = 8
3(-10 + z) + 2 (12 - 2z) - z = 8
-30 + 3z + 24 - 4z - z = 8
-6 - 2z = 8
    - 2z = 14
        z = -7

x = -10 + z
   = -10 + -7 = -17

y = 12 - 2z
   = 12 - 2 (-7)
   = 12 + 14 = 26

Jadi x = -17, y = 26 dan z = -7