A fan of birds has a total of 30, among canaries,parakeets and goldfinches. It has twice as many goldfinches as canaries and it is known that it has three times as many canaries as parakeets. How many birds of each type does it have?

1.- Raise the system of equations. Consider that:
x: number of canaries
y: number of parakeets
z: number of goldfinches

And construct the matrix of coefficients associated with the system of equations.

2.- Obtain the inverse matrix of the matrix from the previous exercise.

3.- Once the inverse matrix has been obtained, obtain the solution of the system of equations using the following formula, where x = will be the column vector of unknowns and b is the column vector of independent terms. Interpret the results.

pur-new-sol

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