Linear 3 variabel yang di buku cetak 2x + z = 5 y - 2z = -3 x + y = 1

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

eliminasi 2 dan 3
y - 2z = -3
x + y = 1
.................... –
-2z - x = -4 ...... (5)

eliminasi 1 dan 5
2x + z = 5 (x2)
-2z - x = -4 (x1)
......................

4x + 2z = 10
-2z - x = -4
...................... +
3x = 6
x = 6/2 = 3

substitusi x = 3 ke (3)
x + y = 1
y = 1 - x
y = 1 - 3 = -2

substitusi y = -2 ke (2)
y - 2z = -3
-2z = -3 - y
-2z = -3 - (-2)
-2z = -3 + 2
z = -1/-2 = 1/2

jadi x = 3
y = -2
dan z = 1/2