Okay so for consecutive
Your first integer can be represented by the variable x.
The second number will be x+1, since it is consecutive. (For example 1+1=2, where 1 and 2 are consecutive)
So, your equation will be
x+(x+1)=-35
Combine like terms
2x+1=-35
-1 -1
—————
2x=-36
Begin isolating the variable by moving the 1 to the right
Divide each side by 2 to completely isolate x
2x=-36
—— —-
2 2
x=-18
So, one of the numbers is -18. For the other integer, insert -18.
x+1=-18+1
-17
So one integer is -17, and the other is -18. You can check by adding these integers, which gives you -35.
Hope this helps!!