Di ketahui system persamaan linear tiga variabel X+y+2z=9 2x+4y-3z=1 3x+6y-5z=0 Tentukan nilai x+y+z=...

x + y + 2z = 9
2x + 4y - 3z = 1
3x + 6y - 5z = 0

x + y + 2z = 9
__________×2
2x + 2y + 4z = 18
2x + 4y - 3z = 1
_____________ (-)
-2y + 7z = 17
_________×3
-6y + 21z = 51

x + y + 2z = 9
__________×3
3x + 3y + 6z = 27
3x + 6y - 5z = 0
______________(-)
-3y + 11z = 27
__________×2
-6y + 22z = 54

-6y + 21z = 51
-6y + 22z = 54
___________(-)
z = 3

-2y + 7z = 17
-2y + 21 = 17
-2y = -4
y = 2

x + y + 2z = 9
x + 2 + 6 = 9
x = 1


x + y + z = 1 + 2 + 3
x + y + z = 6