The correct option is A 1
The equation x + y = 2 will be having 3 possible positive integer solutions i.e. x =1 and y = 1, x = 2 and y = 0, and, x = 0 and y = 2
Now, for having common positive integer solutions, equation 2x - y = 1 must satisfy any of these solutions.
Thus, both equations satisfy for x = 1 and y = 1.