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 as 0, multiply the first () row by 2 and subtract 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 .

     (The result is placed in row 2)

To make the second element in the first () row a 0,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  .