Question

3x + 2y - z = 0
2x - y + 3z = 17
x + 2y - 2z = -8


Selesaikan dalam sistem campuran dan matrix
salah di lapor!!!

Answer 1

3x + 2y - z = 0 x3
2x - y + 3z= 17 x1
9x + 6y - 3z = 0
2x - y + 3z = 17
----------------------- +
11x + 5y = 17 prsamaan no4

3x + 2y - z = 0 ×2
x + 2y -2z=-8 ×1
6x + 4y - 2z = 0
x + 2y - 2z = -8
------------------- -
5x + 2y = -8 prsamaan ke 5

11x + 5 y = 17 ×2
5x + 2y = -8 ×5
22x + 10y=34
25x + 10y=-40
------------------- -
-3 x =-6
x =-6/-3
x = 2

11x + 5y = 17
11(2)+ 5y=17
22 + 5y = 17
5y = 17-22
5y = -5
y=-1
x + 2y - 2z = -8
x(2) + 2(-1) -2z =-8
2 - 2 - 2z = -8
-2z = -8
z = -8/-2
z = 4

jadi x= 2
y=-1
z= 4