cara penyelesaian SPL 3 variabel ? 3x+4y-3z=3 2x-y+4z=21 5x+2y+6z=46

3x + 4y - 3z = 3 |×4
2x - y + 4z = 21 |×3
maka
12x + 16y - 12z = 12
6x - 3y + 12z = 63
---------------------------(+)
18x + 13y = 75 ... pers 1

2x - y + 4z = 21 |×3
5x + 2y + 6z = 46 |×2
maka
6x - 3y + 12z = 63
10x + 4y + 12z = 92
----------------------------(-)
- 4x - 7y = - 29 ... pers 2

18x + 13y = 75 |×2
- 4x - 7y = - 29 |×9
maka
36x + 26y = 150
- 36x - 63y = - 261
---------------------------(+)
- 37y = - 111
y = 3

subtitusi
- 4x - 7y = - 29
- 4x - 7(3) = - 29
- 4x - 21 = - 29
- 4x = - 29 + 21
- 4x = - 8
x = 2

subtitusi
3x + 4y - 3z = 3
3(2) + 4(3) - 3z = 3
6 + 12 - 3z = 3
18 - 3z = 3
- 3z = 3 - 18
- 3z = - 15
z = 5

hp = ( 2 , 3 , 5 )