Answer
$X=\left[\begin{array}{rr}
-2 & -7/3\\
1/3 & 1/3
\end{array}\right]$
Work Step by Step
$ 2A=B-3X\qquad$... add $3X$ to both sides
$ 2A+3X=B\qquad$... subtract 2A from both sides
$ 3X=B-2A\qquad$... multiply both side with $\displaystyle \frac{1}{3}$
$X=\displaystyle \frac{1}{3}(B-2A)$
$X=\displaystyle \frac{1}{3}(\left[\begin{array}{ll}
2 & 5\\
3 & 7
\end{array}\right]-2\displaystyle \left[\begin{array}{ll}
4 & 6\\
1 & 3
\end{array}\right])$
$X=\displaystyle \frac{1}{3}\left[\begin{array}{ll}
2-8 & 5-12\\
3-2 & 7-6
\end{array}\right]$
$X=\left[\begin{array}{ll}
-2 & -7/3\\
1/3 & 1/3
\end{array}\right]$
