Question

2x + y - 3z = -5
x - y + z = 3
3x + 2y + z = 16
Tentukan hp dengan metode substitusi

Answer 1

(1) x-y+z=3
(2) 2x+y-3z=-5
(3) 3x+2y+z=16

x-y+z=3
z=3-x+y ...(1)
(2) 2x+y-3z=-5
2x+y-3(3-x+y)=-5
2x+y-9+3x-3y=-5
5x-2y=4... (A)
(3) 3x+2y+z=16
3x+2y+(3-x+y)=16
3x+2y+3-x+y=16
2x+3y=13 ...(B)

(A) 5x-2y=4. (x3). 15x-6y=12
(B) 2x+3y=13. (x2). 4x+6y=26
---------------+
19x=38
x=2
5(2)-2y=4
10-2y=4
-2y=4-10
-2y=-6
y=3

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

Jadi, HP{(2,3,4)}