SOLUTION: find three consecutive even integers such that the sum of the smallest and 3 times the second is 38 more than twice the third.

Question 707693: find three consecutive even integers such that the sum of the smallest and 3 times the second is 38 more than twice the third.
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Equation 1:
Equation 2:
Equation 3:
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Note that B & C are written in terms of A. Substitute their values into equation 3.
Equation 3:

Multiply through

Combine like terms

Subtract 6 from both sides

Subtract 2A from both sides

Divide both sides by 2

Now plug 20 into equations 1 & 2 for A.
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Equation 1:

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Equation 2:

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