Himpunan penyelesaian dari pesamaan X-2y-2z=0 2x+3y+z=1 3x-y-3z=3

2x + 3y + z = 1 (×2)
x - 2y - 2z = 0 (× 1)

4x + 6y + 2z = 2
...x - 2y .- 2z = 0
------------------------ +
5x + 4y = 2 (I)

2x + 3y + z = 1 (× 3)
3x - y - 3z = 3 (× 1)

6x + 9y + 3z = 3
3x - ....y - 3z = 3
------------------------ +
9x + 8y = 6 (II)

(I) 5x + 4y = 2 (× 2)
(II) 9x + 8y = 6 (× 1)

10x + 8y = 4
.9x + 8y = 6
------------------- -
x = -2

5x + 4y = 2
5(-2) + 4y = 2
-10 + 4y = 2
4y = 2 + 10
4y = 12
y = 12/4
y = 3

x - 2y - 2z = 0
-2 - 2(3) - 2z = 0
-2 - 6 - 2z = 0
-8 -2z = 0
2z = -8
z = -8/2
z = -4

Jadi HP dari persamaan itu adalah {-2 , 3 , -4}