tentukan HP dari persamaan

[tex] \frac{1}{x} = x \\ \frac{1}{y} = y \\ \frac{1}{z} = z \\ 2x - y + z = 6 (1) \\ x - 3y + z = - 2(2) \\ x + 2y - z = 3(3)[/tex]
2x-y+z = 6 (1)
x-3y+z=-2 (2)
________ -
x+2y= 8 (4)

x-3y+z = -2
x+2y-z = 3
________ +
2x-y = 1 (5)

x+2y= 8 x1
2x-y = 1 x2

x+2y = 8
4x-2y = 2
_______ +
5x = 10
x = 2

2(2)-y = 1
-y = 1 - 4
-y = -3
y = 3

x+2y-z = 3
2 + 2(3) - z = 3
2+6-z =3
-z = 3-8
-z = -5
z = 5

jadi hp {2,3,5}