2xa-3xb=1.313

4xb-3xc=1.906

xa-xc=3.784

4xb-3xc=1.906

xa-xc=3.784

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).

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