Question

Tentukan hp dari spltv
X-4y+z=1
X+y+2z=-4
-2x+y-z=5

Answer 1

X-4y+z = 1
x+y+2z =-4
________-
-5y-z = 5....(1)

x+y+2z = -4 |×2| 2x+2y+4z = -8
-2x+y-z= 5 |×1| -2x+y-z= 5
_________ _________+
3y+3z=-3....(2)

-5y-z = 5 |×3| -15y-3z = 15
3y+3z=-3 |×1 | 3y+3z = -3
_________ _________+
-12y = 12
y= -1
-5× (-1)-z=5
5-z =5
5-5 = z
0 =z

x-4y+z = 1
x-4×(-1)+(0)= 1
x+4+0 = 1
x=1-4
x=-3

hp={-3,-1,0}