SOLUTION: For a certain system of three linear equations, the solution set is {-4,16,-13}, and D=-37. Find the values of Dx,Dy,Dz

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Question 770383: For a certain system of three linear equations, the solution set is {-4,16,-13}, and D=-37. Find the values of Dx,Dy,Dz
Answer by AnlytcPhil(1807) About Me  (Show Source):
You can put this solution on YOUR website!
(x,y,z) = (-4,16,-13), and D=-37

By Cramer's rule,

x = D%5Bx%5D%2FD,  y = D%5By%5D%2FD,  z = D%5Bz%5D%2FD


Multiplying them all by D

Dx = D·x,  Dy = D·y,  Dz = D·z

Dx = (-37)·(-4),  Dy = (-37)·16,  Dz = (-37)·(-13)

Dx = 148,  Dy = -592,  Dz = 481  

Edwin