Step 1 :The given system of equations is: \(4x - y = 4\) and \(4x + y = 4\).
Step 2 :We can solve this system of equations by substitution or elimination method. Here, it is easier to use the elimination method.
Step 3 :By adding the two equations, we can eliminate \(y\) and solve for \(x\).
Step 4 :Then we can substitute \(x\) into one of the equations to solve for \(y\).
Step 5 :The solution to the system of equations is \((x, y) = (1, 0)\).
Step 6 :This means that the system has a unique solution.
Step 7 :Final Answer: The system has a unique solution: \(\boxed{(1, 0)}\).