We need to solve the given system of equation by using combination:
1) 6x + 3y = -12
2) -2x - y = -4
First, we need to analyze the coefficient of x and y.
Let's make the x terms opposite to each other.
Multiply the first equation by 2 and the second equation by 6. Therefore:
1)
(2)(6x + 3y = -12)
12x + 6y = -24
2)
(6)(-2x - y = -4)
-12x -6y = -24
These are the new equations:
1)12x + 6y = -24
2)-12x -6y = -24
Now, we need to add like terms and solve for one variable. However, in this case, both variables will cancel each other.
Therefore, this system of equations has no solutions.