Answered

The sum of three consecutive even integers is 36. Let x represent the first integer, x + 2 represent the second integer, and x + 4 represent the third integer.


Which equation can be used to find the first integer?


3x = 2x + 6


2x + 6 = 36


3x + 6 = 36


3x + 36 = 2x + 6

Verified Answer :

stefrheart

To start this, try to place it all together.

(x)+(x+2)+(x+4)=36

Then you start to combine so that it looks like this:

3x+6=36

I believe that is one of the choices. Do you need more explanation?

Answer:

C. \(3x+6=36\)

Step-by-step explanation:

Let x represent the first integer, \(x+2\) represent the second integer, and \(x+4\) represent the third integer.

The sum of these integers would be \(x+x+2+x+4\).

We have been given that the sum of three consecutive even integers is 36. We can represent this information in an equation as:

\(x+x+2+x+4=36\)

Combine like terms:

\(3x+6=36\)

Therefore, the equation \(3x+6=36\) can be used find the first integer.

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