#### Answer

$$X=\begin{pmatrix}6&\frac{25}{2}\\ -4&-9\end{pmatrix}$$

#### Work Step by Step

Isolating X by taking the inverse of the matrix, we find:
$$X=\begin{pmatrix}6&8\\ 2&3\end{pmatrix}^{-1}\begin{pmatrix}4&3\\ 0&-2\end{pmatrix} \\ X=\begin{pmatrix}6&\frac{25}{2}\\ -4&-9\end{pmatrix}$$