Diketahui spltv berikut 2×+y+2=4 3x-y+2z=-5 ×+2y+2z=5

X - y +2z = 5 ...... 1
2x + y - z = 9........2
x - 2y + 3z = 4.......3

eliminasi var. y persamaan 1 & 2 | eliminasi var. y persamaan 1&3
x - y + 2z = 5 x - y + 2z = 5 | x 2
2x + y - z = 9 x - 2y + 3z = 4 | x 1
___________+ ____________________
3x + z = 14.......4 2x - 2y + 4z = 10
x - 2y + 3z = 4
____________________-
x + z = 6..........5

* eliminasi var. z persmaan 4&5 * substitusi x=4 ke (4)
3x + z = 14 3(4) + z = 14
x + z = 6 z = 14 - 12
____________- z = 2
2x = 8
x = 4

* substitusi x =4 & z = 2 ke (1)
x - y + 2z = 5
4 - y + 2(2) = 5
-y = 5 - 8
y = 3

Himpunan penyelesaian ( 4 , 3 , 2 )