x – y = 8, 3x – 3y = 16

The given system of equations is:

1. x - y = 8
2. 3x - 3y = 16

First, we can simplify the second equation by dividing every term by 3:

x - y = 16/3

Now we have a new system of equations:

1. x - y = 8
2. x - y = 16/3

We can see that the left sides of both equations are the same (x - y), but the right sides are different (8 and 16/3). This means that the system of equations has no solution.

The given system of equations is:

1. x - y = 8
2. 3x - 3y = 16

First, let's simplify the second equation by dividing every term by 3:

x - y = 16/3

Now we have a new system of equations:

1. x - y = 8
2. x - y = 16/3

From these two equations, we can see that they are inconsistent, because the left sides are equal (x - y = x - y), but the right sides are not (8 ≠ 16/3). Therefore, this system of equations has no solution.