Jawab:

{x, y, z} =

{2, 1, 1}

Penjelasan dengan langkah-langkah:

x + y + 2z = 5

↓

x = 5 - y - 2z → (pers 1)

x - 2y + z = 1 → (pers 2)

2x + 3y - 2z = 5 → (pers 3)

Substitusi pers 2 dan pers 3 dgn pers 1

5 - y - 2z - 2y + z = 1

2(5 - y - 2z) + 3y - 2z = 5

↓

5 - y - 2z - 2y + z = 1

10 - 2y - 4z + 3y - 2z = 5

↓

y + 2y + 2z - z = 5 - 1

2y - 3y + 4z + 2z = 10 - 5

↓

3y + z = 4

- y + 6z = 5

↓

3y + z = 4 (pers 4)

y = 6z - 5 (pers 5)

Substitusi pers 4 dengan 5

3(6z - 5) + z = 4

18z - 15 + z = 4

18z + z = 4 + 15

19z = 19

z = 1

Cari y

y = 6z - 5

y = 6(1) - 5 =

y = 1

Cari x

x = 5 - y - 2z

x = 5 - 1 - 2(1)

x = 5 - 1 - 2

x = 2

- jiazheng -