Explanation
No, starting from x1[n], the output of y1[n] violates the definition of time invariant.
Input of X[n]
Since the system is linear, the input should be X[n] = u[n]
No, starting from x1[n], the output of y1[n] violates the definition of time invariant.
Since the system is linear, the input should be X[n] = u[n]