Tentukan himpunan penyelesaian dari SPLTV berikut. X+y+z=1 2x+3y-z=8 4x-y+3z=6

x + y + z = 1
2x + 3y - z = 8
----------------------(+)
3x + 4y = 9 ... pers 1

x + y + z = 1 |×3
4x - y + 3z = 6
maka
3x + 3y + 3z = 3
4x - y + 3z = 6
-----------------------(-)
- x + 4y = - 3 .. pers 2

pers 1 & 2
3x + 4y = 9
- x + 4y = - 3
------------------(-)
4x = 12
x = 3

subtitusi
- x + 4y = - 3
- 3 + 4y = - 3
4y = - 3 + 3
4y = 0
y = 0

subtitusi
x + y + z = 1
3 + 0 + z = 1
z = 1 - 3
z = - 2

hp = ( 3,0,-2)