The given system of equations is:

2x - y = -2

3x + 4y = 3

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

Now |A| = 2(4)-3(-1) = 11 ≠ 0.

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

Now

So

And

So

Hence