Solve the following system of equations by the method of Gauss

The augmented matrix of the system of equations is:

If the third and second row we subtract the first, we get

If we now exchange the second and third rows, we obtain

is the matrix that enlarged the system of equations:

which is equivalent to the initial.

We solve the third ocuacion for Z

In the first and second equation, we replace Z by the solution of the third equation (Z = 1) to

obtain

The second equation is now an equation with one unknown quantity Y, which we

solve to obtain

Substituting the unknown (Y) of the first equation, the solution obtained in the second equation (Y

= 1). This gives us an equation in X:

that ends up giving us resolve the resolution of the initial system of equations