If p x+ p y= p zwhere p is a prime number and x, y, z are natural numbers, then which is/are the correct statement(s)?(a) x = y (b) z – x = 2z – y (c) p is an even prime.

1) Only (a).
2) Both (a) and (b).
3) Both (b) and (c).
4) Both (a) and (c).