Let's analyze the question and solve it.

The given system of equations is:

$4x + 4y = -44$ $2x + 2y = -22$

Step 1: Simplify the equations if possible

The second equation, $2x + 2y = -22$, can be rewritten by dividing through by 2: $x + y = -11$

For the first equation, $4x + 4y = -44$, divide through by 4: $x + y = -11$

Thus, both equations reduce to $x + y = -11$, meaning they are equivalent.

Step 2: Check which system has the same solution

To determine which option has the same solution as the original system, let’s verify the given choices.

1. Option 1: $4x + 4y = -44, \quad 2x - 4y = 44$ Solve these equations:

   • First equation: $4x + 4y = -44$ simplifies to $x + y = -11$.
   • Second equation does not match this simplification.

   Not correct.

2. Option 2: $4x + 4y = -44, \quad -4x + 4y = 44$ Adding these equations eliminates $x$ and $y$ does not match.