Verified Answer :

Solutions 

First Lets solve for this equation \(6x + 3y = -6\) 

\(6x + 3y = -6\) 

\(6x+3(-2-2x)=-6\) 

\(-6=-6\) 

Therefore this given equation is a dependent system. 

Solve for \(2x + y = -2\) 

\(2x+y=-2\) 

\(y=-2-2x\) 

There are too many solutions to these equations. 


6x + 3y = -6
2x + y = -2

Solve both equations for the same variable, in this case, I'll solve for y.

2x + y = -2   Subtract 2x from both sides
y = -2x -2

6x + 3y = -6         Subtract 6x from both sides
        3y = -6x -6   Divide both sides by 3
          y = -2x -2  

Once you have them solved you can set them equal to each other and solve.

-2x -2 = -2x -2 

But, these two equations are the same, so any number you put in for x will work. The answer to the system is infinite solutions.