Given ( 12 -13 17 -22) (x y)= (7 -51), what is |A y|?

The complete question is attached below:
A set of numbers arranged in rows and columns so as to form a rectangular array.
Given:
[tex]\left[\begin{array}{ccc}12&-13\\17&-22\end{array}\right]* \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}7\\-51\end{array}\right][/tex]
[ 12x - 13 y
17x - 22y ] = [tex]\left[\begin{array}{ccc}7\\-51\end{array}\right][/tex]
As we need to find Ay for that the matrix on RHS of equal sign [tex]\left[\begin{array}{ccc}7\\-51\end{array}\right][/tex] is to be putted in the matrix [tex]\left[\begin{array}{ccc}12&-13\\17&-22\end{array}\right][/tex]
Hence, Ay = [tex]\left[\begin{array}{ccc}12&7\\17 & -51\end{array}\right][/tex]
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