Given equations are,

.

.

Write the augmented matrix,

Place the coefficients of the equations and the constant terms in to matrix.

To make the first element in the second () row is 0, multiply the first () row by 3 and subtract the result from row 2 ().

   (The result is placed in row 2)

To make the second element in the second () row is 1, multiply the  second  () row by

     (The result is placed in row 2)

To make the second element in the first () row is 0,multiply the second () row by  2 and add the rows together.

      (The result is placed in row 1)

The first row will give you the solution for .

The second row will give you the solution for .

The solution is  .