Question

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The sum of two consecutive integers is -15. Which equation could you use to find the two integers and what is the smaller integer?
A- 2x+2=-15
The smaller integer is -7

B- x+(x+1)=-15
The smaller integer is -7

C- 2x+1=-14
The smaller integer is -8

D- x+(x+2)=-15
The smaller integer is -8

Answer 1

x + (x +1) = -15

Smallest integer = -8

Explanation:

Let the two consecutive integers be x and (x +1).

x + x + 1 = -15

Combine like terms,

2x + 1 = -15

Subtract 1 from both sides,

2x = -15 -1

2x = -16

Divide both sides by 2,

x = -16/2

x = -8

x + 1 = -8 + 1

= -7

Equation: x + (x +1) = -15

The smallest integer = -8