Penjelasan dengan langkah-langkah:

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

2x + 2y + z = 10 ...(2)

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

i) eliminasi pers (1) dan pers (2)

2x + y - 3z = -1

2x + 2y + z = 10

---------------------- -

-y - 4z = -11 ...(4)

ii) eliminasi pers 2 dan 3

2x + 2y + z = 10 |×1 | 2x + 2y + z = 10

x - 2y + 3z = 1 |×2 | 2x - 4y + 6z = 2

----------------------- -

6y - 5z = 8 ...(5)

iii) eliminasi per 4 dan pers 5

-y - 4z = -11 |×6 | -6y - 24z = -66

6y - 5z = 8 |×1 | 6y - 5z = 8

---------------------- +

29z = -58 <=> z = -2

iv) substitusi nilai z ke pers 4

-y - 4(-2) = -11

8+11 = y

y = 19

v) substitusi nilai y dan z ke pers 3

x - 2.19 + 3(-2) = 1

x - 38 - 6 = 1

x = 1 + 44

x = 45

Jadi, Hp={45, 19, (-2)}