System of equations are and
.
Row-reduction method :
\A linear system is represented as an augmented matrix.
\If are the system of equations then the augmented matrix is
.
Reduce the augmented matrix into row echelon form, by using elementary row operations.
\Row echelon form of linear system of three variable is .
The solutions of the system of equation are and
.
Consider .
Therefore, ,
and
.
Solution of the linear system is ,
and
.