Question

Tolong substitusikan.SPLTV berikut

Answer 1

Verified answer

Materi : SPLTV
Kelas : X SMA
Metode : Substitusi

x + y + 2z = 9 ............. 1)
2x + 4y - 3z = 1 .......... 2)
3x + 6y - 5z = 0 ......... 3)

◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◇◇
◇x + y + 2z = 9 <=> x = 9 - y - 2z ◆
◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇

2x + 4y - 3z = 1
2(9 - y - 2z) + 4y - 3z = 1
18 - 2y - 4z + 4y - 3z = 1
2y - 7z = 1 - 18
2y - 7z = -17 .............. 4)

3x + 6y - 5z = 0
3(9 - y - 2z) + 6y - 5z = 0
27 - 3y - 6z + 6y - 5z = 0
3y - 11z = -27 ............ 5)

2y - 7z = -17 ......... ×3
3y - 11z = -27 ........ ×2
•••••••••••••••••••••••••
6y - 21z = -51
6y - 22z = -54
••••••••••••••••••••••••• [-]
z = 3

2y - 7z = -17
2y - 7(3) = -17
2y - 21 = -17
2y = -17 + 21
2y = 4
y = 2

x = 9 - y - 2z
x = 9 - 2 - 2(3)
x = 7 - 6
x = 1

Hp = { 1 , 2 , 3 }