SOLUTION: Find three consecutive integers such that the sum of the first and third is 5 less than 3 times the second.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find three consecutive integers such that the sum of the first and third is 5 less than 3 times the second.      Log On


   

Question 923901: Find three consecutive integers such that the sum of the first and third is 5 less than 3 times the second.
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
z = y + 1
y = x + 1
x + z = 3y - 5
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put the system of linear equations into standard form
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-y + z = 1
-x + y = 1
x - 3y + z = -5
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solution:
x = 4
y = 5
z = 6
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