Tentukan nilai x y dan Z di sistem persamaan linear tiga variabel

2x+y+z = 6 |x1| => 2x+y+z = 6
x-3y-2z = 3 |x2| => 2x-6y-4z = 6
=> 2x+y+z = 6
=> 2x-6y-4z = 6
----------------------- --
7y+5z = 0 (pers. 1)

x-3y-2z =3 |x(-4)| => -4x+12y+8z = -12
=> -4x+12y+8z = -12
=> -4x+2y+3z = 3
------------------------------ --
10y+5z = -15 (pers. 2)

10y+5z = -15(pers. 2)
7y+5z = 0 (pers. 1)
---------------------- --
3y = -15
y = -5

10y+5z = -15 (pers. 2)
10(-5)+5z = -15
-50+5z = -15
5z = 35
z = 7

2x+y+z = 6
2x+(-5)+7 = 6
2x+2 = 6
2x = 4
x = 2