Answer:
The first integer is: -49
The second integer: -49+1 = -48
Solution Check:
-49+(-48) = -97
Step-by-step explanation:
Let the first integer: [tex]x[/tex]
As we are looking for a consecutive integer, so
The second integer would be: [tex]x+1[/tex]
We know the sum of these two integers is -97. Thus, we can write this equation and solve for 'x'.
[tex]x+\left(x+1\right)=-97[/tex]
[tex]x+x+1=-97[/tex]
[tex]2x+1=-97[/tex]
[tex]2x=-98[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{-98}{2}[/tex]
[tex]x=-49[/tex]
Therefore,
The first integer is: -49
The second integer: -49+1 = -48
Solution Check:
-49+(-48) = -97