Chapter 3 Linear Systems and Matrices - 3.8 Use Inverse Matrices to Solve Linear Systems - 3.8 Exercises - Skill Practice - Page 214: 14

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

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