The system of equations are
.
Cramers Rule for three equations containing three variables :
\Consider a system of linear equations as
.
The solutions of the system are
, where
,
,
and
.
Find the determinant
.



.
Find the value of
.



.
Find the value of
.



.
Find the value of
.



.
Find the value of
, Using Cramer Rule :
.

.
Find the value of
, Using Cramer Rule:
.

.
Find the value of
, Using Cramer Rule:
.

.
The solution of system of equations is
.
\
The solution of system of equations is
.