Diketahui sistem persamaan 3x + 2y - z = 10 4x + y + 3z = 3 2x - y + 2z = 1 Tentukan nilai dari x - y - z

3x + 2y - z = 10 x1
4x + y + 3z = 3 x2

3x + 2y - z = 10
8x + 2y + 6z = 6
______________ -
-5x - 7z = 4

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


-5x - 7z = 4 x6
6x + 5z = 4 x5

-30x - 42z = 24
30x + 25z = 20
_______________ +
-17z = 44
z = - 44/17

6x + 5(-44/17) =4
6x - 220/17 = 4
6x = 68/17 + 220/17
6x = 288/17
x = 288/102

3x + 2y - z = 10
3(288/102) + 2y + 44/7 = 10
288/34 + 2y + 44/7 = 10
2016/238 + 2y + 1496/238 = 10
3512/238 + 2y = 10
2y = 2380/238 - 3512/238
2y = -1132/238
y = - 1132/ 476

x-y-z
288/102 + 1132/476 + 44/17
i