SOLUTION: The sum of two integers is twenty-one. Six times the smaller integer is twenty-seven more than three times the larger integer. Find the integers.

SOLUTION: The sum of two integers is twenty-one. Six times the smaller integer is twenty-seven more than three times the larger integer. Find the integers.

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Question 660573: The sum of two integers is twenty-one. Six times the smaller integer is twenty-seven more than three times the larger integer. Find the integers.
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
x + y = 21
6x = 27 + 3y : rewrite as 6x - 3y = 27
Multiply the first equation by 3
3(x+y=21)
3x + 3y = 63
Add to the second equation
6x + 3x - 3y + 3y = 27 + 63
9x = 90
9x/9 = 90/9
x = 10
y = 21 - 10 = 11
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