tolong dijawab untuk menyelesaikan persamaan linear tiga variabel dari x-3y+z=8 2x+3y-z=1 3x-2y-2z=2

Materi : SPLTV
Kelas : X SMA

x - 3y + z = 8 ........... 1)
2x + 3y - z = 1 ......... 2)
3x - 2y - 2z = 2 ....... 3)

x - 3y + z = 8
2x + 3y - z = 1
◆◆◆◆◆◆◆◆◆◆◆ [ + ]
3x = 9
x = 3

2x + 3y - z = 1 ...... ×2
3x - 2y - 2z = 2 .... ×1
◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆
4x + 6y - 2z = 2
3x - 2y - 2z = 2
◆◆◆◆◆◆◆◆◆◆◆◆ [ - ]
x + 8y = 0

x + 8y = 0
3 + 8y = 0
8y = -3
y = -3/8

x - 3y + z = 8
3 - 3(-3/8) + z = 8
3 + 9/8 + z = 8
z = 8 - 3 - 9/8
z = 5 - 9/8
z = 40/8 - 9/8
z = 31/8

Hp = { 3 , -3/8 , 31/8 }