The given system of equations is:

4x - 3y = 3

3x - 5y = 7

The given system of equations can be written in the form of AX = B, where

Now |A| = 4(-5)-3(-3) = -11 ≠ 0

∴ A is a non-singular matrix and hence A^-1 exists.

Now

AdjA =

So

And

So

Hence