Cari solusi dari persamaan di bawah ini dengan menggunakan eliminasi gauss X + 2y + z = 5 2x + 2y + z = 6 X + 2y + 3z = 9

Diketahui:
x + 2y + z = 5
3x + 6y + 3z = 15
6x + 12y + 6z = 30

2x + 2y + z = 6 (x6)
12x + 12y + 6z = 36

x + 2y + 3z = 9
3x + 6y + 9z = 27

[ELIMINASI]
12x + 12y + 6z = 36
6x + 12y + 6z = 30
------------------------------ -
6x = 6
x = 1

[ELIMINASI]
3x + 6y + 9z = 27
3x + 6y + 3z = 15
--------------------------- -
6z = 12
z = 2

[SUBTITUSI]
x + 2y + z = 5
1 + 2y + 2 = 5
3 + 2y = 5
2y = 2
y = 1

[PEMBUKTIAN]
x + 2y + z = 5
1 + 2(1) + 2 = 5
5 = 5 ✔️

2x + 2y + z = 6
2(1) + 2(1) + 2 = 6
6 = 6 ✔️

x + 2y + 3z = 9
1 + 2(1) + 3(2) = 9
9 = 9 ✔️