The coefficient determinant ∆=
| 2 -3 0 |
| 0 4 -3 |
| 1 0 -1 |
∆=2(-4)+3(3)=-8+9=1
xa=
| 1.313 -3 0 |
| 1.906 4 -3 | ÷ ∆
| 3.784 0 -1 |
xa=1.313(-4)+3(-1.906+3(3.784))=-5.252+28.338=23.086.
xb=
| 2 1.313 0 |
| 0 1.906 -3 | ÷ ∆
| 1 3.784 -1 |
xb=2(-1.906+3(3.784)-1.313(3)=14.953.
xc=
| 2 -3 1.313 |
| 0 4 1.906 | ÷ ∆
| 1 0 3.784 |
xc=2(4(3.784))+3(-1.906)+1.313(-4)=19.302.
SOLUTION: (xa,xb,xc)=(23.086,14.953,19.302).