SOLUTION: The sum of three numbers is 2. If twice the second number is added to the sum of first and third, we get 1. On adding the sum of second and third numbers to five times the first, w

Algebra ->  Matrices-and-determiminant -> SOLUTION: The sum of three numbers is 2. If twice the second number is added to the sum of first and third, we get 1. On adding the sum of second and third numbers to five times the first, w      Log On


   

Question 863267: The sum of three numbers is 2. If twice the second number is added to the sum of first and third, we get 1. On adding the sum of second and third numbers to five times the first, we get 6. Find the numbers, using matrix method.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB%2BC=2
2B%2BA%2BC=1
B%2BC%2B5A=6
So then,
A%2BB%2BC=2
A%2B2B%2BC=1
5A%2BB%2BC=6
or in matrix form,

Find the matrix inverse.

%28matrix%283%2C1%2CA%2CB%2CC%29%29=%28matrix%283%2C1%2C1%2C-1%2C2%29%29