Answer: (c)
Solution:
The correct answer is option (C).
It is clear that, Reason (R) is false.
Upon solving $x+y=8$ and $x-y=2$, we obtain:
$x=5$ and $y=3$
Therefore, the given system has a unique solution. So, assertion (A) is true.
$\therefore$ Assertion (A) is true and Reason (R) is false.