SPLTV tentukan nilai x,y,dan z 3X+2Y+Z=12 4X+3Y+2Z=17 X+Y+3Z=5

3x + 2y + z = 12 (× 2)
4x + 3y + 2z = 17 (× 1)

6x + 4y + 2z = 24
4x + 3y + 2z = 17
-------------------------- -
2x + y = 7 => ( pers.1 )


3x + 2y + z = 12 (× 3)
x + y + 3z = 5 (× 1)

9x + 6y + 3z = 36
..x +....y + 3z = ...5
----------------------------- -
8x + 5y = 31 => ( pers.2)

2x + y = 7 (× 5)
8x + 5y = 31 (× 1)

10x + 5y = 35
..8x + 5y = 31
----------------------- -
2x = 4
x = 4/2
x = 2

2x + y = 7
2(2) + y = 7
4 + y = 7
y = 7 - 4
y = 3

x + y + 3z = 5
2 + 3 + 3z = 5
5 + 3z = 5
3z = 5 - 5
3z = 0
z = 0/3
z = 0

Jadi nilai x , y dan z adalah 2 , 3 , dan 0