3x+2y=9
4x-z=2
y+3z=9
Tentukan penyelesaian sistem persamaan tersebut
Diketahui sistem persamaan
3x = 9-2y
x = (9-2y)/3
x = 3-2/3y
4x-z = 2
4(3-2/3y) – z = 2
12-8/3y -z = 2
-8/3y-z= 2-12
8/3y+z = 8
y+3z =9 x1
8/3y+z = 8 x3
y+3z = 9
8y+3z = 24
—————— –
-7y = -15
- y = 15/7
- x = 3-3/2(15/7) = 3-45/14 = 3-3 3/14 = 3/14
- y+3z = 9
= 15/7+ 3z = 9
= 3z = 9-15/7
= 3z = (63-15)/7
=3z = 48/7
= z = (7 x 3)/48
= z = 21/48
= z = 7/16