Find the consecutive integers who's sum is - 33

-17,-16 because

lets say the first integer is x

Then the second integer is x+1

Let's make an equation

x + (x+1) = - 33

2x+1=-33

Subtract 1 from both sides

2x=-34

Divide both sides by 2

x=-17

The first number is - 17

The second number is - 16