Carilah himpunan penyelesaian dari sistem persamaan linear tiga variabel berikut: 2× - y + z = 6 × - 3y + z = -2 × + 2y - z = 3

Matpel : Matematika
Kelas : 10 SMA
Bab : SPLTV


Jawaban :
[tex]2x - y + z = 6 \: pers1 \\ x - 3y + z = - 2 \: pers2\\ x + 2y - z = 3 \: pers3 \\ pers1 - pers2 \\ x + 2y = 8 \: pers4 \\ pers2 + \: pers3 \\ = 2x - y = 1 \: pers5 \\ pers5 \times 2 \\ = 4x - 2y = 2 \: pers5 \\ pers5 + pers4 \\ 5x = 10 \\ x = 2 \\ \\ subs \: ke \: pers \: 5 \\ 2(2) - y = 1 \\ = 4 - y = 1 \\ - y = - 3 \\ y = 3 \\ \\ subs \: ke \: pers \: 1 \\ 2( - 2) - 3 + z = 6 \\ - 4 - 3 + z = 6 \\ z = 13[/tex]
HP = {2,3,13}