Question

Nilai x,y dan z yang memenuhi persamaan
x - y + 3z = 4
-2x + y -z = 1
3x - 2y + z = -3

Answer 1

X-y+3z=4 |×1| x-y+3z=4
-2x+y-z=1 |×3| -6x+3y-3z=3
-----------------------------------(+)
-5x + 2y = 7 ... pers (1)

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

-5x + 2y = 7
-5(-2) + 2y = 7
2y = 7 - 10
2y = -3
y = -3/2

x - y + 3z = 4
(-2) - (-3/2) + 3z = 4
(-2) + 3/2 + 3z = 4
3z = 4 + ½
3z = 9/2
z = 9/2 × ⅓
z = 3/2