Leverage the System of Equations: 'x - y = 8' and '2x - 2y = 16' to Find x and y

To solve this problem, we'll follow these steps:

• Step 1: Write the given equations.

• Step 2: Simplify and compare the equations to each other.

• Step 3: Determine the nature of the solution.

Now, let's work through each step:

Step 1: The given system of equations is:

$x - y = 8$
$2x - 2y = 16$

Step 2: Simplify and compare the two equations:

The second equation $2x - 2y = 16$ can be divided entirely by 2 to give:

$x - y = 8$

Step 3: Observe that both equations are identical, meaning they represent the same line.

Therefore, this system of equations has infinite solutions, as every point on the line satisfies the equation.

The correct answer to the original problem is: Infinite solutions