$$[13][\begin{matrix}c&2\\ -1&2\end{matrix}]=[7\ 11]$$
$d=500$
$$c-1^{2}=\frac{711}{13}$$
$$c-1=\frac{711}{13}$$
$$c=\frac{711}{13}+1$$
$$c=\frac{724}{13}$$
$$c=\frac{724}{13}$$ $$d=500$$
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