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4x - 3y = -19 | x 3 |
12x + 20y = -28
12x - 9y = -57
--------------------------- -
29y = 29
y = 1
substitusikan ke persamaan pertama
3x + 5 = -7
3x = -12
x = 4
HP = { 4,1 }
b. 3x + y + 4z = 4 | x 2 |
5x - y + 3z = 19 | x 2 |
2x + 2y + 3z = -5 | x 3 | | x 5 |
eliminasi ke 1 dan ke 3
6x + 2y + 8z = 8
6x + 6y + 9z = -15
------------------------------ -
-4y -z = 23 ...............................4 | x 3 |
eliminasi ke 2 dan ke 3
10x - 2y + 6z = 38
10x + 10y + 15z = -25
--------------------------------------- -
-12y - 9z = 63..............................5 | x 1 |
eliminasi persamaan ke 4 dan ke 5 ( hasil eliminasi sebelumnya )
-12y - 3z = 69
-12y - 9z = 63
----------------------- -
6z = 6
z = 1
substitusikan ke persamaan ke 4
-4y - 1 = 23
-4y = 24
y = -6
substitusikan ke persamaan ke 3
2x - 12 + 3 = -5
2x = -5 + 12 - 3
2x = 4
x = 2
HP = { 2, -6, 1}
semoga membantu :)