Question

X+y+z=12
2x-y+2z=12
2x+2y-z=18

Answer 1

X + y + z = 12...(1)
2x - y + 2z = 12...(2)
2x + 2y - z = 18...(3)

Dari pers (2) dan (3), eliminasi x
2x - y + 2z = 12
2x + 2y - z = 18
Eliminasi x
-3y + 3z = -6...(4)

Dari pers (1) dan (2), eliminasi x
x + y + z = 12... kali 2
2x - y + 2z = 12... kali 1

2x + 2y + 2z = 24
2x - y + 2z = 12
Eliminasi x
3y = 12
y = 4

Masukkan nilai y ke dlm pers (4)
-3(4) + 3z = -6
-12 + 3z = -6
3z = 6
z = 2

Masukkan nilai y dan z ke dlm pers 1
x + y + z = 12
x + 4 + 2 = 12
x = 6