2x + 5y + 4z = 25 ...... (i)

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

3x - 4y + 6z = 3 ...... (iii)

*eliminasi x persamaan (i),(ii)

2x + 5y + 4z = 25 | ×1

x + 2y - 3z = 1 | ×2

2x + 5y + 4z = 25

2x + 4y - 6z = 2

_____________ _

y + 10z = 23 ...... (iv)

y = 23 - 10z

*eliminasi x persamaan (ii),(iii)

x + 2y - 3z = 1 | ×3

3x - 4y + 6z = 3 | ×1

3x + 6y - 9z = 3

3x - 4y + 6z = 3

____________ _

10y - 15z = 0 ...... (v)

*substitusi nilai y ke persamaan (v)

10y - 15z = 0

10(23-10z) = 15z

2(23-10z) = 3z

46 - 20z = 3z

46 = 23z

z = 2

*nilai y

y = 23 - 10z

y = 23 - 10(2)

y = 23 - 20

y = 3

*substitusi nilai y dan z ke persamaan (ii)

x + 2y - 3z = 1

x + 2(3) - 3(2) = 1

x + 6 - 6 = 1

x = 1

maka, HP = {x,y,z} = {1,3,2}