Question

Selesailan soal berikut dengan sistem linier tiga variabel X-2Y+Z=6 3X+Y-2Z=4 7X-6Y-Z=10

Answer 1

X - 2y + z = 6
7x - 6y - z = 10
------------------(+)
8x - 8y = 18 ... (4)
x - 2y + z = 6|×2|2x - 4y + 2z = 12
3x + y - 2z = 4|×1|3x + y - 2z = 4
-----------------------------------(+)
5x - 3y = 16 ...(5)
pers 4 dan 5 di eliminasi
8x - 8y = 18|×3|24x - 24y = 54
5x - 3y = 16|×8|40x - 24y = 128
-----------------------------------(-)
-16x = - 74
x = 4
8x - 8y = 18
8.4 - 8y = 18
32 - 8y = 18
-8y = 18 - 32
y = -14 : -8
y = 1,75
x - 2y + z = 6
4 - 2.1,75 + z = 6
z = 6 - 4 + 3,5
z = 5,5