The system equations are
\
Equation (1)
Equation (2)
The matrix equation form is
.
When,
.
Therefore solution matrix is
.
First find the determinant of A = ad
bc.



.
Therefore A-1 exists.
\The inverse of A is
.
Substitute a = 4, b =
, c = 3, d = 2 and ad
bc = 29.

.
Substitute the values of
in the solution matrix
.
Multiply each side by
.






The solution is
.