Answer:
(x, y) = (6, -2)
Step-by-step explanation:
A suitable calculator or spreadsheet can do the row-reduction or matrix inversion required to solve this system.
(x, y) = (6, -2)
_____
For matrices ...
[tex]A=\left[\begin{array}{cc}8&5\\3&2\end{array}\right],\ B=\left[\begin{array}{c}38\\14\end{array}\right] ,\ X=\left[\begin{array}{c}x\\y\end{array}\right][/tex]
The solution can be found as ...
[tex]AX=B\ \longrightarrow\ X=A^{-1}B[/tex]
or by row-reducing the augmented matrix ...
[tex][A|B]\ \longrightarrow\ [I|X][/tex]