Tentukan himpunan penyelesaian dari persamaan linear 4x + 2y-z = 10 3 x - 3 y + z = 4 2 x + 2y + 2z = 0

4x + 2y-z = 10 |×2
3 x - 3 y + z = 4 |×2
2 x + 2y + 2z = 0 |

8x+4y-2z=20
6x-6y+2z=8
2x+2y+2z=0

8x+4y-2z=20
6x-6y+2z=8
------------------- +
14x-2y=28 ---------- persamaan ke 1

6x-6y+2z=8
2x+2y+2z=0
--------------------- -
4x-4y=8 ------------- persamaan ke 2

14x-2y=28 | ×2
4x-4y=8

28x-4y=56
4x-4y=8
---------------- -
24x=48
X= 2

4(2)-4y=8
8-4y=8
-4y= 0
Y=0

2 (2) + 2(0) + 2z = 0

4+0+2z=0
4+2z=0
2z=-4
Z=-2

Jadi x = 2, y = 0, z = -2