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

Answer

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Answer

So, the solution to the system of equations is $\boxed{x = 3}$ and $\boxed{y = -8}$

Steps

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 $\boxed{y = -8}$