2x+3y+4z=6
-3+3y-6z=12
3x-2y+5z=5
Hitunglah akar akar persamaan di bawah dengan metode eliminasi,substitusi,geometri
Jawaban:
(1) 2x+3y+4z=6
(2) -3+3y-6z=12
(3) 3x-2y+5z=5
(2) -3+3y-6z=12
3y-6z=15
y=5+2z
(1) 2x+3y+4z=6…(x3)….6x+9y+12z=18
(3) 3x-2y+5z=5…(x2)….6x-4y+10z=10
____________ –
5y+2z= 8
y =(8-2z)/5
y=5+2z=(8-2z)/5
25+10z=8-2z
12z=-17
z=-17/12
y=5+2(-17/12)
y=13/6
2x+3y+4z=6
2x+3(13/6)+4(-17/12)=6
2x+13/2-17/3=6
2x+5/6=6
2x=31/6
x=31/12