Explanation

x - y = 2 ...........(1) x2 - y2 = 8 ........... (2) x - 2 = y ............ (3) Put y = x -2 in (2) x2 - (x - 2)2 = 8 x2 - (x2 - 4x + 4) = 8 x2 - x2 + 4x - 4 = 8 4x = 8 + 4 = 12 x = 12/4 = 3 from (3), y = 3 - 2 = 1 therefore, x = 3, y = 1

x - y = 2 ...........(1) x2 - y2 = 8 ........... (2) x - 2 = y ............ (3) Put y = x -2 in (2) x2 - (x - 2)2 = 8 x2 - (x2 - 4x + 4) = 8 x2 - x2 + 4x - 4 = 8 4x = 8 + 4 = 12 x = 12/4 = 3 from (3), y = 3 - 2 = 1 therefore, x = 3, y = 1