Answer:
[tex]|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|[/tex]
Step-by-step explanation:
You can use these Cramer's formulas to solve for x and y:
[tex]x=\dfrac{|A_x|}{|A|},\\ \\y=\dfrac{|A_y|}{|A|},[/tex]
where
[tex]|A|=\left|\begin{array}{cc}12&-13\\ \\17&-22\end{array}\right|\\ \\ \\|A_x|=\left|\begin{array}{cc}7&-13\\ \\-51&-22\end{array}\right|\\ \\ \\|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|[/tex]
So,
[tex]|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|[/tex]
