For each ordered pair, determine whether it is a solution to the system of equations.
\[
\left\{\begin{array}{l}
y=-2 x-6 \\
5 x-3 y=7
\end{array}\right.
\]
\begin{tabular}{|c|c|c|}
\hline \multirow{2}{*}{\( (x, y) \)} & \multicolumn{2}{|c|}{ Is it a solution? } \\
\cline { 2 - 3 } & Yes & No \\
\hline\( (-8,10) \) & \( \bigcirc \) & 0 \\
\hline\( (2,1) \) & \( \bigcirc \) & \( \bigcirc \) \\
\hline\( (9,0) \) & \( \bigcirc \) & \( \bigcirc \) \\
\hline\( (-1,-4) \) & \( \bigcirc \) & \( \bigcirc \) \\
\hline
\end{tabular}