Selesaikan sistem persamaan berikut! X + 2y = -4 2x + z = 5 y - 3z = -6

SPLTV

Dari pers.2:
2x + z = 5
z = 5 - 2x

Pers.3:
y - 3z = -6
y - 3(5 - 2x) = -6
y - 15 + 6x = -6
y + 6x = 9

x + 2y = -4
6x + y = 9
(Pers.2 dikali 2)
x + 2y = -4
12x + 2y = 18
__________-
-11x = -22
x = 2

x + 2y = -4
2 + 2y = -4
2y = -6
y = -3

2x + z = 5
4 + z = 5
z = 1

HP = {(2, -3, 1)}

x+2y=-4
x=-4-2y. prtdksmaan 1

2×+z=5
x=1/2(5-z). pertdksmaan2
y-3z=-6
y=-6+3z. pertdksman3
gabung pertdksman1&2
-4-2y=1/2(5-z)
-4-2(-6+3z)=1/2(5-z)
8-6z=1/2(5-z)sma2 X2
16-12z=5-z
-12z+z=5-16
-11z=-11
z=1
dgn demikian y=-6+3z
y=-6+3(1)
y=-3
jk x=-4-2y
x=-4-2(-3)
x=2
hpx,y,z
hp={2,-3,1}