The sum of two integers is 12 and the difference of the two integers is 6 what are the two integers

x+y = 12 (the sum of 2 unknown integers)

x-y = 6 (the difference of the 2 ints)

you just need to solve this for x and y. you can do this using substitution.

x + y = 12

x - y = 6 - --> x = y+6

(y+6) + y = 12

2y = 6

y = 3

x = 9 - --> when we plug in y to x+y = 12 we get x = 9