tentukan penyelesaian dgn metode eliminasi 1. x-y+z = -2 x-y-z = 0 x+y+z = -6

x-y+z = -2 .......(1)
x-y-z = 0 .......(2)
x+y+z = -6 .......(3)

eliminasi 1 dan 2
x - y + z = -2
x - y - z = 0
........................ –
0x + 0y + 2z = -2
2z = -2
z = -2/2 = -1

eliminasi 1 dan 3
x - y + z = -2
x + y + z = -6
........................ –
0x - 2y + 0z = 4
-2y = 4
y = 4/-2 = -2

eliminasi 2 dan 3
x - y - z = 0
x + y + z = -6
......................... –
0x - 2y - 2z = 6
-2y - 2z = 6
-y - z = 3 .... (4)

eliminasi 2 dan 4
x - y - z = 0
-y - z = 3
...................... –
x + 0y + 0z = -3
x = -3

penyelesaian :
X = -3
Y = -2
Z = -1