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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