Diketahui SPLTV: 4x+3y+z=16 2x+7y+3z=8 x-3y-2z=-14 carilah himpunan penyelesaiannya! Dengan cara substitusi

a) 4x+3y+z=16
x-3y-2z=-14
___________+
5x -z = 2
b) 4x+3y+z=16 [x7]
2x+7y+3z=8 [x3]
=> 28x+21y+7z= 112
6x+21y+9z= 24
_____________-
22x-2z= 88
·» 22x-2z=88 [x1] ...(b)
5x-z=2 [x2] ...(a)
=>22x-2z=88
10x-2z=4
__________ -
12x = 84
x= 84/12
x= 7
·» 5x-z=2 .... (a)
5.7-z=2
35-z=2
-z=2-35
-z=-33
z=33
·» 4x+3y+z=16
4.7+3y+33=16
28+3y+33=16
61+3y=16
3y= 16-61
3y = -45
y = -45/3
y = -15