Diketehui sistem persamaan linear: 1.3x-y+z=10 2.2x+3y-z=18 3.x+y-2z=-10

3x - y + z = 10
2x + 3y - z = 18
x + y - 2z = - 10

x + y - 2z = - 10
x = - 10 - y + 2z

2x + 3y - z = 18
2(- 10 - y + 2z) + 3y - z = 18
- 20 - 2y + 4z + 3y - z = 18
y + 3z = 18 + 20
y + 3z = 38

3x - y + z = 10
3(- 10 - y + 2z) - y + z = 10
- 30 - 3y + 6z - y + z = 10
- 4y + 7z = 10 + 30
- 4y + 7z = 40

y + 3z = 38|× 4
- 4y + 7z = 40|× 1

4y + 12z = 152
- 4y + 7z = 40
__________ +
19z = 192
z = 192/19

y + 3z = 38
y + 576/19 = 38
y = 38 - 576/19
y = 146/19

x = - 10 - y + 2z
x = - 10 - 146/19 + 384/19
x = - 10 + 238/19
x = 48/19