Question

Which of the following did you include in your description? Check all of the boxes that apply.

Let x = the smallest even integer, x + 2 = the next even integer, and x + 4 = the largest even integer.

Write the equation x + x + 2 + x + 4 = –78.

Simplify the equation as 3x + 6 = –78.

Solve the equation by subtracting 6 and dividing by 3 on both sides of the equation.

Check that the sum of the integers –28,
–26, and –24 is –78.

Answer 1

Let us call x the smallest integer. Because the next two numbers are consecutive even integers, we can call represent them as x + 2 and x + 4.

We are told the sum of x, x+2, and x+4 is equal to -78

x + (x + 2) + (x + 4) = -78

3x + 6 = -78

3x = -78-6

3x = -84

x = -28

Now,

(x+2) = -28+2

= -26

(x+4) = -28+4

= -24

This means that the integers are -28, -26, and -24.

Hence proved.

Learn more about consecutive integers at : https://brainly.in/question/33146242

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