Himpunan penyelesaian dari sistem persamaan x+2y-2z=0 2x+3y+z=1 3x-y-3z=3 adalah

pers. (i) x + 2y - 2z = 0 dikalikan 6
pers. (ii) 2x + 3y + z = 1 dikalikan 3
pers. (iii) 3x - y - 3z = 3 dikalikan 2

6x + 12y - 12z = 0
6x + 9y + 3z = 3
______________-
3y - 15z = -3 pers. (iv) dikalikan 11

6x + 9y + 3z = 3
6x - 2y - 6z = 6
______________-
11y + 9z = -3 pers. (v) dikalikan 3

33y - 165z = -33
33y + 27z = -9
_____________-
- 192z = -24
z = -24/-192
z = 1/8

33y + 27(1/8) = -9
33y = -9 - 27/8
33y = -99/8
y = -99/8 : 33
y = -33/88

x + 2y - 2z = 0
x + 2(-33/88) - 2(1/8) = 0
x - 66/88 - 2/8 = 0
x = 88/88
x = 1