Concept:Use substitution and the difference of two squares to solve the simultaneous equations.Explanation:x−y=2 ...... (1)x2−y2=8 ...... (2)From (1), express y in terms of x:y=x−2 ...... (3)Substitute (3) into (2):x2−(x−2)2=8Expand (x−2)2:x2−(x2−4x+4)=8Simplify:x2−x2+4x−4=84x−4=84x=12x=412=3Use (3) to find y:y=3−2=1Therefore, the solution is (x,y)=(3,1).Answer:Option B. (3,1)