(ii) x – y = 8, 3x – 3y = 16

The given system of equations is:

(i) x - y = 8 (ii) 3x - 3y = 16

Step 1: Simplify the second equation by dividing every term by 3, we get:

x - y = 16/3

Now we have a new system of equations:

(i) x - y = 8 (ii) x - y = 16/3

Step 2: Subtract the second equation from the first one:

0 = 8 - 16/3 = 8/1 - 16/3 = (24 - 16)/3 = 8/3

This is a contradiction because 0 is not equal to 8/3. Therefore, the given system of equations has no solution.