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 second () row a 0, multiply the first row (R₁) by negative 2 and add the result to row 2().

   (The result is placed in row 2)

In the above matrix, all elements in the second row are zeros.So the system of equations has infinitely many solutions.

The system of equations has infinitely many solutions.