Inverse matrix method :

The systemof equations are

3x + 2y = 5    → ( 1 )

- 2x + 3y= 14 → ( 2 )

Write the equations in matrices form AX  = B .

A  is coefficeint mattrix , X  is variable matrix and B  is constant matrix.

and .

.

The solution is x = - 1 and y = 4.