Final answer:
To calculate the system response for the given difference equation, substitute values for x(n-1), y(n-1), and y(n-2) into the equation which gives -0.75.
Step-by-step explanation:
The given difference equation is y(n) = x(n-1) - 0.75y(n-1) - 0.125y(n-2).
To calculate the system response, we need to substitute values for x(n-1), y(n-1), and y(n-2) into the equation.
For example, if we have:
x(n-1) = 2
y(n-1) = 3
y(n-2) = 4
We can calculate y(n) as follows:
y(n) = x(n-1) - 0.75y(n-1) - 0.125y(n-2)
y(n) = 2 - 0.75(3) - 0.125(4)
y(n) = 2 - 2.25 - 0.5
y(n) = -0.75
Therefore, the system response for these values of x(n-1), y(n-1), and y(n-2) is -0.75.