Given equations are,

.

.

Write the augmented matrix,

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

Notice that the first element in the second row is 1.interchanging the rows so 1 can be in the upper left - hand corner.

To make the first element in the second () row a 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 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,multiply the second () row by  2 and subtracted 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  .