Given that one of the equations (y = 3x + 2) has already isolated one variable (y), it is most logical to use the substitution method to solve this system. In the substitution method, we solve one of the equations for one variable and then substitute this expression in the other equation, substituting everywhere in the other equation where this variable is seen. A significant advantage of the substitution method over other methods is that it is pretty straightforward.
Here are the steps to use the substitution method with your equations:
Step 1: Solve one of the equations for one variable:
Given y = 3x + 2
Step 2: Substitute this expression into the other equation:
Substitute y = 3x + 2 into the first equation 6x - 2y = -4 to solve for x.
When you have both x and y, you have the solution to the system of equations.
Therefore, the most appropriate method in this case is 1) Substitution method.