SPLTV
(1) x + y + z = 12
(2) 2x - y + 2z = 12
(3) 2x + 2y - z = 18
Eliminasi z
(1) + (2)
3x + 3y = 30
x + y = 10 ... (4)
y = 10 - x ... (5)
x + y + z = 12
10 + z = 12
z = 2 ✔
2x - y + 2z = 12
2x - (10 - x) + 4 = 12
3x = 12 + 6
x = 6 ✔
y = 10 - x
y = 4 ✔
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SPLTV
(1) x + y + z = 12
(2) 2x - y + 2z = 12
(3) 2x + 2y - z = 18
Eliminasi z
(1) + (2)
3x + 3y = 30
x + y = 10 ... (4)
y = 10 - x ... (5)
x + y + z = 12
10 + z = 12
z = 2 ✔
2x - y + 2z = 12
2x - (10 - x) + 4 = 12
3x = 12 + 6
x = 6 ✔
y = 10 - x
y = 4 ✔
pers. 1&2
x+y+z=12
2x-y+2z= 12
__________+
3x+3z=24 > pers. 4
eliminasi y
pers. 2&3
2x-y+2z=12 | x2
2x+2y-z=18
4x-2y+4z=24
2x+2y-z=18
__________+
6x+3z=42 > pers. 5
SPLDV pers. 4&5
3x+3z=24
6x+3z=42
________-
-3x=-18
x=6
subsitusikan ke pers. 4
3x+3z=24
18+3z=24
3z=6
z=2
subsitusikan x&z ke pers. 1
x+y+z=12
6+y+2=12
y=4
(6,4,2) > x,y,z