X + y + z = 23....(1) Z + y = 3 + x...(2) X= 2 + y...(3) Bagaimana penyelesaiannya?

Materi : SPLTV
Kelas : X SMA

x + y + z = 23
z + y = 3 + x
x = 2 + y


Susun terlebih dahulu :
x + y + z = 23 ........ 1)
-x + z + y = 3 ......... 2)
x - y = 2 ................. 3)

x + y + z = 23
-x + y + z = 3
◆◆◆◆◆◆◆◆◆◆◆ +
2y + 2z = 26

x + y + z = 23
x - y = 3
◆◆◆◆◆◆◆◆◆◆◆◆ -
2y + z = 20

2y + 2z = 26
2y + z = 20
◆◆◆◆◆◆◆◆◆◆ -
z = 6

2y + 2z = 26
2y + 2(6) = 26
2y + 12 = 26
2y = 26 - 12
2y = 14
y = 7

x + y + z = 23
x + 7 + 6 = 23
x + 13 = 23
x = 23 - 13
z = 10

Hp = {6 , 7 , 10 }