Solving for the variable x: $\begin{array}{l}-9 x-y=-19 \\ -3 x-3 y=15\end{array}$

Step 1 ：Simplify the second equation by dividing every term by -3, we get \(x + y = -5\)

Step 2 ：Now we have two new equations: \(-9x - y = -19\) and \(x + y = -5\)

Step 3 ：Add these two equations together: \(-9x - y + x + y = -19 - 5\), which simplifies to \(-8x = -24\)

Step 4 ：Divide both sides by -8, we get \(x = 3\)

Step 5 ：Substitute \(x = 3\) into the equation \(x + y = -5\), we get \(3 + y = -5\), which simplifies to \(y = -8\)

Step 6 ：So, the solution to the system of equations is \(\boxed{x = 3}\) and \(\boxed{y = -8}\)