Himpunan penyelesaian x+y+z=7 2×-y+z=15 ×-2y-z =3 nilai x, y, z

Sistem Persamaan Linear Tiga Variabel.

x + y + z = 7
2x - y + z = 15
------------------- -
-x + 2y = -8

x + y + z = 7
x - 2y - z = 3
----------------- +
2x - y = 10

-x + 2y = -8 | x2 | -2x + 4y = -16
2x - y = 10  | x1 | 2x - y = 10
                           -------------------- +
                           3y = -6 → y = -2
2x + 2 = 10 → x = 4
4 - 2 + z = 7 → z = 5
HP = {(4, -2, 5)}