Which system of equations has the same solution as the system below?
\[
\begin{array}{l}
4 x+5 y=-55 \\
2 x+4 y=-38
\end{array}
\]

Step 1 ：The given system of equations is: \[\begin{array}{l} 4x + 5y = -55 \ 2x + 4y = -38 \end{array}\]

Step 2 ：We are asked to find a system of equations that has the same solution as the given system. To do this, we can multiply each equation in the given system by a non-zero constant. This will not change the solution of the system.

Step 3 ：Let's multiply the first equation by 2 and the second equation by 2. This gives us the new system of equations: \[\begin{array}{l} 8x + 10y = -110 \ 4x + 8y = -76 \end{array}\]

Step 4 ：This new system of equations has the same solution as the original system. Therefore, the system of equations that has the same solution as the given system is: \[\begin{array}{l} 8x + 10y = -110 \ 4x + 8y = -76 \end{array}\]

Step 5 ：Final Answer: \[\boxed{\begin{array}{l} 8x + 10y = -110 \ 4x + 8y = -76 \end{array}}\]