tentukan penyelesaian dari sistem persamaan linear berikut : x + y + z = 0 x + 5y + 3z = 1 -x + 2y + z = 2

x + ...y + ..z = 0
x + 5y + 3z = 1
--------------------- -
-4y - 2z = -1 (pers.1)

.x + .. y + z = 0
-x + 2y + z = 2
---------------------- +
3y + 2z = 2 (pers.2)

(pers.1) -4y - 2z = -1
(pers.2) 3y + 2z = 2
..............------------------- +
...................-y = 1
............... .....y = 1/-1
.....................y = -1

3y + 2z = 2
3(-1) + 2z = 2
-3 + 2z = 2
2z = 2 + 3
2z = 5
z = 5/2

x + y + z = 0
x + (-1) + 5/2 = 0
x - 1 + 5/2 = 0
x - 2/2 + 5/2 = 0
x + 3/2 = 0
x = -3/2


Jadi HP dari sistem persamaan linear tersebut adalah {-3/2 , -1 , 5/2}