I need help solving problem A by using a direct proof or counterexample

Determine whether the statement is true or false. If the statement is true, give a proof. If the statement is false, give a counterexample. Note: the definition of an even integer is an integer that can be expressed as 2k, where k is an integer.) If x and y are both even integers, then x ty is an even integer If x+y is an even integer, then x and y are both even integers