SPLTV X-2y+z=6 7x-6y-z=10 3x+y-2z=4 Ditanyakan hp sistem persamaan?

Materi SPLTV

Pers 1 dan 2
x - 2y + z = 6
7x - 6y - z = 10
-------------------- +
8x - 8y = 16
x - y = 2 (...4)

Pers 2 dan 3:
7x - 6y - z = 10 => 14x - 12y - 2z = 20
==============> 3x + y - 2z = 4
--------------------------------------------------- -
11x - 13y = 16 (...5)

Jadi,
x - y = 2 => 11x - 11y = 22
11x - 13y = 16
------------------- -
2y = 6 => y = 3
Subs y = 3,
x - y = 2
x - 3 = 2 => x = 5
Sehingga,.x - 2y + z = 6 menjadi,
5 - 2(3) + z = 6 => z = 7
HP = {(5,3, 7)}