The system of equations are .

To write the augmented matrix,

Place the coefficients of the equations and the constant terms into matrix.

.

To make the first element in the first () row a 1, multiply the first row () by .

   (The result is placed in row 1)

To make the first element in the second () row a 0, multiply the first row () by negative 4 and add the result to row 2 ().

(The result is placed in row 2)

To make the second element in the second () row a 1, multiply the second () row by 4 and add the result to row 2 ().

     (The result is placed in row 2)

In the second row two zeros are involved, so the system of equation has no solutions.

The the system of equation has no solutions.