Answer:
-88 and -87
Explanation:
Since the two unknown integers are consecutive, one will be one more than the other. This means we can express them as x and x+1, so we only have one unknown in our equation. Since they add to -175, we can now write our equation:
x+(x+1) = -175
Take away brackets and combine like terms:
2x+1 = -175
Now we just need to isolate x which we can do by subtracting 1 from both sides and then dividing both sides by 2:
2x+1-1=-175-1
2x = -176
2x/2 = -176/2
x = -88
And our other number is -88+1 = -87
So our two numbers are -88 and -87 which are consecutive and add to 176:
-88+(-87) = -175
Hope this helped!