12. find the smaller of 2 consecutive integers,
x, if the sum of the two integers is -29.
write an equation to determine the
consecutive integers.
variable:
equation:

The smaller of 2 consecutive integers is -15. The equation to determine the  consecutive integers is x + (x + 1) = -29

Solution:

Given that sum of two consecutive integer is -29.

Need to write the equation and determine the smaller of 2 consecutive integers.

Let’s smaller integer be represented by variable x

So bigger consecutive integer will be represented by x + 1  

As sum of two integer = -29

=> x + (x + 1) = -29

=> 2x + 1 = -29    

=> 2x + 30 = 0   (1)

On solving equation (1) for x we get

2x =-30

=> x = -15

Smallest integer = x = -15

Bigger integer = x + 1 = -15 + 1 = -14

Hence required smaller integer = -15 and required equation is x + (x + 1) = -29