The sum of two numbers is 17 and their differences is 29. What are the two numbers?

x + y = 17 x - y = 29 x = 17 - y x - y = 29 x = 17 - y 17 - y - y = 29 x = 17 - y 17 - 2y = 29 x = 17 - y  - 2y = 29 - 17 x = 17 - y -2y = 12 x = 17 - y  y = -6 x = 17 - (-6) y = -6 x = 17 + 6 y = -6 x = 23 y = -6