I want to know how to solve those types of problems.. is it by inspection ?
Consider the linear system below. When the inputs to the system $x_1[n]$, $x_2[n]$ and $x_3[n]$, the responses of the systems are $y_1[n]$, $y_2[n]$ and $y_3[n]$ as shown.
a. Determine whether the system is time invariant or not. Just your answer.
b. What is the impulse response?
Edit: Assuming a general case where the given inputs don't contain a scaled impulse like $x_2[n]$