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svet-max [94.6K]
3 years ago
7

Solve for x and y Pls help it’s timed

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
6 0

Answer:

Check pdf

Step-by-step explanation:

Download pdf
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Step-by-step explanation:

<u>Definitions</u>

  • Integer:  a whole number that can be positive, negative or zero.
    e.g. ..., -3, -2, -1, 0, 1, 2, 3, ...
  • Even number: an integer that is exactly divisible by two.  For example, 2, 4, 6, 8 are all positive even numbers.
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<u>The sum of three consecutive even integers</u>

Let x be the first even integer.

As there is a <u>difference of 2</u> between <u>consecutive even integers</u>, the next even integer after x will be (x + 2).

Therefore, the next even integer after (x + 2) will be (x + 2) + 2 = (x + 4).

So "the sum of three consecutive even integers is twenty-six" is:

x + (x + 2) + (x + 4) = 26

<u>To solve</u>

⇒ x + (x + 2) + (x + 4) = 26

⇒ x + x + 2 + x + 4 = 26

⇒ 3x + 6 = 26

(Please note that there are no three consecutive even integers that sum to 26, so the problem cannot be solved).

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