3x + 2y + z = 12 ➡️ Pers 1

4x + 3y + 2z = 17 ➡️ Pers 2

x + y + 3z = 5 ➡️ Pers 3

Eliminasi variabel z dari pers 1 dan 2

3x + 2y + z = 12   | ×2 | 6x + 4y + 2z = 24

4x + 3y + 2z = 17 | ×1 | 4x + 3y + 2z = 17

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

                                        2x + y = 7 ➡️ pers 4

Eliminasi variabel z dari pers 2 dan 3

4x + 3y + 2z = 17 | ×3 |  12x + 9y + 6z = 51

x + y + 3z = 5       | ×2 |   2x + 2y + 6z = 10

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

                                   10x + 7y = 41 ➡️ pers 5

Eliminasi variabel y dari pers 4 dan 5

2x + y = 7      | ×7 |  14x + 7y = 49

10x + 7y = 41 | ×1 |  10x + 7y = 41

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

                                     4x = 8

                                       x = 2

x = 2 di substitusikan ke pers 4

2x + y = 7

2(2) + y = 7

4 + y = 7

y = 7 - 4

y = 3

x = 2 dan y = 3 di substitusikan ke pers 1

3x + 2y + z = 12

3(2) + 2(3) + z = 12

6 + 6 + z = 12

z = 12 - 6 - 6

z = 0

Jadi, HP adalah

x = 2

y = 3

z = 0

Semoga membantu >_<