Use the substitution method to solve the problem x = y - 4x + 8 y = 2

First, we substitute the value of y into the first equation:

x = 2 - 4x + 8

Next, we simplify the equation:

x = -4x + 10

Now, we solve for x by adding 4x to both sides:

5x = 10

x = 2

Now that we have found the value of x, we can substitute it back into the second equation to find y:

y = 2

Therefore, the solution to the system of equations is x = 2, y = 2.