Carilah himpunan penyelesaian dari SPLTV berikut 1. x+y = 16 y+z = -4 x+z = 4 2. x-y = 1 2x+z = 5 3y-5z = -2 Mohon bantuannya ya kakak

1.
x + y = 16
y = 16 - x

y + z = -4
16 - x + z = -4
-x + z = -4 - 16
-x + z = -20

..x + z = 4
-x + z = -20
----------------- +
2z = -16
z = -16/2
z = -8
x + z = 4
x - 8 = 4
x = 4 + 8
x = 12
y + z = -4
y - 8 = -4
y = -4 + 8
y = 4
HPnya adalah {12 , 4 , -8}

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

2x + z = 5
2x + (3y + 2)/5 = 5
10x/5 + (3y + 2)/5 = 5
(10x + 3y + 2)/5 = 5
10x + 3y + 2 = 5 × 5
10x + 3y + 2 = 25
10x + 3y = 25 - 2
10x + 3y = 23

x - y = 1 (× 3)
10x + 3y = 23 (× 1)
..3x - 3y = ..3
10x + 3y = 23
-------------------- +
13x = 26
x = 26/13
x = 2
x - y = 1
2 - y = 1
y = 2 - 1
y = 1
2x + z = 5
2(2) + z = 5
4 + z = 5
z = 5 - 4
z = 1

HPnya adalah {2 , 1 , 1}