Question

Tentukan nilai x,y dan z dari SPL 3 variabel berikut

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

Answer 1

Verified answer

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

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

2x + y   -  z  = 2
2x + 4y + 6z = 2
_____________  _
-3y - 7z = 0

3x + 6y + 9z = 3
3x - y + 2z = 3
_____________ _
7y + 7z = 0


-3y - 7z = 0
7y +  7z = 0
__________ +
4y = 0
y = 0

-3y - 7z = 0
-3(0) - 7z = 0
0 - 7z = 0
z = 0

2x + y - z = 2
2x + 0 - 0 = 2
2x = 2
x = 1

x, y, z = 1, 0, 0