himpunan penyelesaian dari 2a+3b+4c=1,a+3b+2c=-1 dan 4a+4b+9c=-2

2a + 3b + 4c = 1
a + 3b + 2c = - 1
4a + 4b + 9c = - 2
______________

2a + 3b + 4c = 1
a + 3b + 2c = - 1
____________ -
a + 2c = 2

a + 3b + 2c = - 1 |×4
4a + 4b + 9c = - 2 |×3
________________
4a + 12b + 8c = - 4
12a + 12b + 27c = - 6
________________ -
-8a - 19c = 2

a + 2c = 2 |×8
-8a - 19c = 2 |×1
_____________
8a + 16c = 16
-8a - 19c = 2
___________ +
- 3c = 18
c = - 6

Substitusi persamaan 4
a + 2c = 2
a + 2(-6) = 2
a - 12 = 2
a = 14
Substitusi persamaan 1

2a + 3b + 4c = 1
2(14) + 3b + 4(-6) = 1
28 + 3b - 24 = 1
4 + 3b = 1
3b = - 3
b = - 1
Hp = {14, - 1, - 6}