Solve the Linear Equation Pair: x-y=8 and 2x-2y=16

To solve this system of equations, let's first look at the given equations:
Equation 1: $x - y = 8$
Equation 2: $2x - 2y = 16$

Let's simplify the second equation. We can divide the entire equation by 2:

$\frac{2x - 2y}{2} = \frac{16}{2}$

This simplifies to:
$x - y = 8$

We can see now that both equations are identical:
1. $x - y = 8$
2. $x - y = 8$

Since both equations represent the same line, every point that is a solution to the first equation is also a solution to the second equation. This means that there are infinitely many solutions, as every point on the line $x - y = 8$ is a solution.

Therefore, the system of equations has infinite solutions.