The system of equations are
,
and
.
Convert the equations into matrices form
,
where
is coefficient matrix,
is constant matrix and
is variable matrix.
Dimension of matrix
is
.


Multiply each side by
.
The value of
.

Apply identity property of matrix:
.
.
\
First find
.

Form the matrix
.
Use row operations to transform
into reduced row echelon form.




.

Inverse matrix is
.
\
Substitute
in equation (1).





The solution in ordered pair form is
.
\
.