Answer
The system of linear equations has infinitely many solutions.
Work Step by Step
The given system of equations is
$4x+4y=-8$ ...... (1)
$-2x-2y=4$ ...... (2)
Multiply equation (2) by $2$.
$2(-2x-2y)=2(4)$
Use distributive property.
$-4x-4y=8$ ...... (3)
Add equation (1) and (3).
$\Rightarrow 4x+4y-4x-4y=-8+8$
Add like terms.
$\Rightarrow 0=0$
The equation $0=0$ is always true.
Hence, the system of linear equations has infinitely many solutions.
