3x-y+z=10. 2x+3y-z=8. x+y-2z=-10 sistem peesamaan linear tiga variabel

3x - y + z = 10
2x + 3y - z = 8
x + y - 2z = - 10

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

2x + 3y - z = 8
2(- 10 - y + 2z) + 3y - z = 8
- 20 - 2y + 4z + 3y - z = 8
- 2y + 3y + 4z - z = 8 + 20
y + 3z = 28

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

y + 3z = 28|× 4
- 4y + 7z = 40|× 1

4y + 12z = 112
- 4y + 7z = 40
__________ +
19z = 152
z = 8

y + 3z = 28
y + 24 = 28
y = 28 - 24
y = 4

x = - 10 - y + 2z
x = - 10 - 4 + 16
x = - 14 + 16
x = 2

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