yang pinter matematika eliminasikan SPLTV berikut

X=4-y-2z
Sama aja
3x=2-2y-z

Materi : SPLTV
Kelas : X SMA

x + y + 2z = 0 ........... 1)
x - y + z = 4 .............. 2)
3x + 2y + z = 2 ........ 3)

x + y + 2z = 0
x - y + z = 4
---------------------- (-)
2y - z = -4 ................ 4)

x - y + z = 4 ............... ×3
3x + 2y + z = 2 ......... ×1
-----------------------------------
3x - 3y + 3z = 12
3x + 2y + z = 2
---------------------------------(-)
-5y + z = 10 .............. 5)

2y - z = -4 ........ ×(5)
-5y + z = 10 ...... ×(-2)
--------------------------------
10y - 5z = -20
10y - 2z = -20
---------------------- (-)
-7z = 0
z = 0/-7
z = 0

2y - z = -4
2y - 0 = -4
2y= -4 + 0
2y = -4
y = -2


x - y + z = 4
x - (-2) + 0 = 4
x + 2 = 4
x = 4 - 2
x = 2

Hp = { 2 , -2 , 0 }