Solve the system of equations. \[ \begin{array}{l} 9 x+11 y=-42 \\ 3 x+4 y=-18 \end{array} \]

Step 1 ：We are given the system of equations: \[ \begin{array}{l} 9x + 11y = -42 \ 3x + 4y = -18 \end{array} \]

Step 2 ：We can solve this system of equations using the method of elimination. This involves either adding or subtracting the equations in order to eliminate one of the variables, making it possible to solve for the other variable.

Step 3 ：Once we have the value of one variable, we can substitute it into one of the original equations to find the value of the other variable.

Step 4 ：By solving the system of equations, we find that the solution is \(x = 10\) and \(y = -12\).

Step 5 ：This means that these values of \(x\) and \(y\) satisfy both equations simultaneously.

Step 6 ：Final Answer: The solution to the system of equations is \(\boxed{x = 10}\) and \(\boxed{y = -12}\).