Final answer:
Option D is the correct choice.
Step-by-step explanation:
In order to find the system of linear equations that has the same solution as the given system, we need to compare the equations and look for similar patterns. The original system is:
x - 4y = -10
x + y = 5
Looking at the options, we can see that the system in option D matches the original system:
-5y = -5
x - 4y = -10
Therefore, option D is the correct choice.