X-3y+2z=6 2x+2y+z=2 X-3y+z=4

Materi : Persamaan Linear Tiga Variabel
Kelas : X SMA

x - 3y + 2z = 6...........1)
2x + 2y + z = 2.........2)
x - 3y + z = 4 ........... 3)

x - 3y + 2z = 6
x - 3y + z = 4
----------------------- (-)
z = 2

2x + 2y + z = 2 ....... ×1
x - 3y + 2z = 6 ......... ×2
◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆
2x + 2y + z = 2
2x - 6y + 4z = 12
◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆ (-)
8y - 3z = -10

8y - 3z = -10
8y - 3(2) = -10
8y - 6 = -10
8y = -10 + 6
8y = -4
y = -4/8
y = -1/2

x - 3y + 2z = 6
x - 3(-1/2) + 2(2) = 6
x + 3/2 + 4 = 6
x = 6 - 4 - 3/2
x = 2 - 3/2
x = 4/2 - 3/2
x = 1/2

Hp = { 1/2 , -1/2 , 2 }