Answer
The system of linear equations has infinitely many solutions.
Work Step by Step
The given system of equations is
$3x-3y=-2$ ...... (1)
$-6x+6y=4$ ...... (2)
Multiply equation (1) by $2$.
$2(3x-3y)=2(-2)$
Use distributive property.
$6x-6y=-4$ ...... (3)
Add equation (2) and (3).
$\Rightarrow -6x+6y+6x-6y=4-4$
Add like terms.
$\Rightarrow 0=0$
The equation $0=0$ is always true.
Hence, the system of linear equations has infinitely many solutions.
