We are given the following system of equations:
y = (1/2)x + 4 ---(1)
x - y = 8 ---(2)
We can solve this system of equations by substitution method.
From equation (2), we have:
x - y = 8
Solving for x, we get:
x = y + 8
Substitute this value of x in equation (1):
y = (1/2)(y+8) + 4
Simplifying and solving for y, we get:
y = 2
Now, substitute this value of y back in equation (2) to find the value of x:
x - 2 = 8
x = 10
Therefore, the solution of the given system of equations is (x, y) = (10, 2).