tentukan x,y,z dari spltv 3x+3y+z =-5 -x+2y+3z =-10 x+y+z =-1

Ini menggunakan rumus Determina :
*D = 3 3 1 ¦ 3 3
-1 2 3 ¦ -1 2
1 1 1 ¦ 1 1
= 6 + 9 + (-1) - 2 - 9 - (-3)
= 6+9-1-2-9+3 = 6
*Dx = -5 3 1 ¦ -5 3
-10 2 3 ¦ -10 2
-1 1 1 ¦ -1 1
= -10 + (-9) + (-10) - (-2) - (-15) - (-30)
= -10-9-10+2+15+30 = 18
*Dy = 3 -5 1 ¦ 3 -5
-1 -10 3 ¦ -1 -10
1 -1 1 | 1 -1
= -30 + (-15) + 1 - (-10) - (-9) - (-5)
= -30-15+1+10+9+5 = -24
*Dz = 3 3 -5 | 3 3
-1 2 -10 | -1 2
1 1 -1 | 1 1
= -6 + (-30) + 5 - (-10) - (-30) - 3
= -6-30+5+10+30-3 = 6

•x = Dx/D = 18/6 = 3
•y = Dy/D = -24/6 = -4
•z = Dz/D = 6/6 = 1
Jadi, x = 3, y = -4, z = 1