Tentukan penyelesaian sistem persamaan linear tiga variabel berikut ! 3x - y + 2z = 10 x + 2y - z = 3 2x - 3y + z = 1

3x-y+2z=10 | ×1 =3x-y+2z=10
X+2y-z=3 | ×3 = 3x+6y-3z=9

3x-y+2z=10
3x+6y-3z=9
.....................-
-7y+5z=1 ...........(1)
X+2y-z=3 |×2 = 2x+4y-2z=6
2x-3y+z=1 | ×1 = 2x-3y+z =1

2x+4y-2z=6
2x-3y+z =1
.......................-
7y-3z =5.........(2)

-7y+5z=1
7y-3z=5
..................+
2z=6
z=6/2
z=3

7y-3(3)=5
7y-9=5
7y=5+9
7y=14
y=14/7
=2

x+2y-z=3
x+2(2)-3=3
x+4-3=3
x+1=3
x=3-1
x=2