tentukan himpunan penyelesaiaan berikut dg metode campuran eliminasi dan subtitusi

[eliminasi]
x + y + z = 6
2x - y + 3z = 7
___________ +
3x + 4z = 13 (1)

2x - y + 3z = 7
3x + y - 2z = 9
___________+
5x + z = 16 (2)

3x + 4z = 13 (x1)
5x + z = 16 (x4)
___________
3x + 4z = 13
20x + 4z = 64
___________ -
-17x = -51 (:-17)
x = 3

3x + 4z = 13 (x5)
5x + z = 16 (x3)
___________
15x + 20z = 65
15x + 3z = 48
___________ -
17z = 17 (:17)
z = 1

[substitusi]

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

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