Explanation:
The substitution method involves solving one of the equations for one of the variables and then substituting the expression into the other equation.
Here's how to solve the system using the substitution method:
Solve one of the equations for one of the variables. Let's solve the first equation for x:
12y + 4x = 12
4x = -12y + 12
x = -3y + 3
Substitute this expression for x into the second equation:
x + 4y = 8
-3y + 3 + 4y = 8
y = 2
Use the value of y to find the value of x by substituting it into the expression for x:
x = -3y + 3
x = -3 * 2 + 3
x = -3 + 3
x = 0
So the solution of the system is (x, y) = (0, 2)