x - y = 2 and x + y = 33
x - y = 2 solve this equation for x
x - y + y = 2 + y
x = y + 2 now subsitute the value of x in the other equation
x + y = 33
(y + 2) + y = 33
y + 2 + y = 33
2y + 2 = 33
2y + 2 - 2 = 33 - 2
2y = 31
2y/2 = 31/2
y = 15.5 Now substitute into the original equation
x + y = 33
x + 15.5 = 33
x + 15.5 - 15.5 = 33 - 15.5
x = 17.5
The two numbers that have a difference of 2 and a sum of 33 is 15.5 and 17.5
