Step 1:

The system of equations are  

Write the equations into matrix form ,

Write the equations into matrix form , where is coefficient matrix,

is variable matrix and is constant matrix.

Solve the equations in Gauss-Jordan method.

The augmented matrix is .

.

Step 2:

The augmented matrix is .

Apply elementary row operations to obtain a reduce the row-echelon form.

Let are represents first row, second row and third row.

Solution :

The solutions of the augmented matrix are and .