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 $x = 3$ and $y = - 8$

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: $- 9 x - y = - 19$ and $x + y = - 5$

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

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 $x = 3$ and $y = - 8$