The system of equations are
Convert the above equations into matrices form
,
where
is coefficient matrix,
is constant matrix and
is variable matrix.
Here
,
and
.
.
.
Multiply each side by
.
.
The value of
.
.
Apply identity property of matrix:
.
.
Find
.
Dimension of
is
.
Form the matrix
.
Use row operations to transform
into reduced row echelon form.



.
.
Substitute
in equation
.
.
Substitute
.




and
.
The solution in ordered pair form is
.
The solution in ordered pair form is
.