Question

Tolong d bantu caranya dengan sistim tiga variabel

X + 2y + 3z =11
2x -y + z = 2
3x + y - 2z = 1

Answer 1

X + 2y + 3z = 11|×1|x + 2y + 3z = 11
2x - y + z = 2|×3|6x - 3y + 3z = 6
-----------------------------------(-)
-5x + 5y = 5 ... pers(4)
2x - y + z = 2|×2|4x - 2y + 2z = 4
3x + y - 2z = 1|×1|3x + y - 2z = 1
------------------------------------(-)
x - 3y = 3 ... pers (5)
pers 4 dan 5
-5x + 5y = 5|×3|-15x + 15y = 15
x - 3y = 3|×5|5x - 15y = 15
------------------------------------(+)
-10x = 30
x = -3
x - 3y = 3
-3 - 3y = 3
-3y = 3 + 3
y = 6 / -3 = -2
x + 2y + 3z = 11
3 + 2(-2) + 3z = 11
3 - 4 + 3z = 11
3z = 11 + 1
z = 12 / 3 = 4