The system of linear equations are
.
The linear equations can be written as matrix form.
\
, The coefficient matrix is
First we can find the determinant of the coefficient matrix.
\


The determinant of a coefficient matrix is not zero.
\
(Apply Cramer Rule:
)



(Apply cramer Rule:
)



(Apply cramer Rule:
)



The solution is x = 5, y = 8 and
.