Final answer:
To solve the system of equations, start by substituting the second equation into the first equation and simplify to find that the system is dependent and has infinitely many solutions.
Step-by-step explanation:
To solve the system of equations:
6x - 3y = -6
y = 2x + 2
You can start by substituting the second equation into the first equation:
6x - 3(2x + 2) = -6
Simplify the equation:
6x - 6x - 6 = -6
Combine like terms:
-6 = -6
Since -6 is equal to -6, this means that the two equations are equivalent and represent the same line. Therefore, the system of equations has infinitely many solutions and is called a dependent system.
Learn more about Dependent systems of equations