Tentukan himpunan penyelesaian sistem persamaan berikut X-y-z = 3 3x +2y +z = 10 2x - 3y+ 5z = -2

x-y-z = 3
3x+2y+z = 10
2x-3y+5z = -2
Eliminasi persamaan 1&2
x-y-z =3 |×3| 3x-3y-3z =9
3x+2y+z=10 |×1| 3x+2y+z=10 -
-5y-4z= -1 (4)
Eliminasi persamaan 2&3
3x+2y+z = 10 |×2| 6x+4y+2z = 20
2x-3y+5z = -2 |×3| 6x-9y+15z = -6 -
13y-13z = 26 (5)
Eliminasi persamaan 4&5
-5y-4z = -1 |×13| -65y-52z = -13
13y-13z =26 |×5| 65y-65z = 130 +
-117z = 117
z =117÷ (-117)
z = -1
substitusi y, z =-1 persamaan 5
13y-13z =26
13y-13.-1 =26
13y+13 = 26
13y = 26-13
13y = 13
y =1
substitusi x persamaan 1
x-y-z = 3
x-1 -(-1) =3
x = 3
Himpunan {x,y,z} = {3, 1, -1}