persamaam 3x-2y+z=11, 2x+3y-2z=1, x-3y+z=4. tentukan nilai dari 1/x+y+z

3x - 2y + z = 11 (P1)
2x + 3y - 2z = 1 (P2)
x - 3y + z = 4 (P3)

2x + 3y - 2z = 1 (P2)
x - 3y + z = 4 (P3)
______________+
3x - z = 5 (P4)

9x - 6y + 3z = 33 (P1, dikali 3)
2x - 6y + 2z = 8 (P3, dikali 2)
_____________-
7x + z = 25 (P5)

3x - z = 5 (P4)
7x + z = 25 (P5)
_________+
10x = 30
x = 3

3x - z = 5
3(3) - z = 5
-z = -4
z = 4

x - 3y + z = 4 (P3)
3 - 3y + 4 = 4
-3y = -3
y = 1

1/(x+y+z)
= 1/(3+1+4)
= 1/8