Penyelesaian cara eliminasi

Materi : SPLTV
Kelas : X SMA

METODE ELIMINASI
◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆

x + y - z = -3
x + 2y + z = 7
◆◆◆◆◆◆◆◆◆◆◆ +
2x + 3y = 4

x + 2y + z = 7
2x + y + z = 4
◆◆◆◆◆◆◆◆◆◆◆ -
-x + y = 3

2x + 3y = 4 ..... × (1)
-x + y = 3 ......... × (2)
◆◆◆◆◆◆◆◆◆◆◆◆◆◆
2x + 3y = 4
-2x + 2y = 6
◆◆◆◆◆◆◆◆◆◆◆◆◆ +
5y = 10
y = 2

2x + 3y = 4
2x + 3(2) = 4
2x + 6 = 4
2x = 4 - 6
2x = -2
x = -1

x + y - z = -3
-1 + 2 - z = 3
1 - z = 2
-z = 2 - 1
-z = 1
z = -1

Hp = {-1 , 2 , -1 }

śémøğá męmbāñţű ^_^