The sum of two consecutive integers is – 175. Find the two integers.

-88 and -87

Step-by-step 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!

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step-by-step explanation: