Respuesta :

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

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