2xa-3xb=1.313

4xb-3xc=1.906

xa-xc=3.784
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1 Answer

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).

by Top Rated User (609k points)

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