Jawaban:

HP {x, y z} = {32/5, 14/5, 1/5}

Penjelasan dengan langkah-langkah:

x + 2y = 12 ... (1)

3y + 3z = 9 ... (2)

2x + y + 2z = 16 ... (3)

..

x + 2y = 12

x = 12 - 2y ... (4)

..

3y + 3z = 9

3y + z = 3

z = 3 - y ... (5)

..

Sub (4) dan (5) → (3)

2x + y + 2z = 16

2(12 - 2y) + y + 2(3 - y) = 16

24 - 4y + y + 6 - y = 16

5y = 14

y = 2,8 ... (Y)

..

Sub (Y) → (1)

x + 2y = 12

x + 2(2,8) = 12

x + 5,6 = 12

x = 6,4 ... (X)

..

Sub (Y) → (2)

3y + 3z = 9

3(2,8) + 3z = 9

8,4 + 3z = 9

3z = 0,6

z = 0,2

..

x = 6,4 = 6 + 2/5 = 32/5

y = 2,8 = 2 + 4/5 = 14/5

z = 0,2 = 1/5