SOLUTION: The sum of three numbers is 26. Twice the first minus the second is two less than the third. the third is the equivalent to the difference between the second and three times the fi

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Question 178662: The sum of three numbers is 26. Twice the first minus the second is two less than the third. the third is the equivalent to the difference between the second and three times the first. find the three numbers.

thanks for the help!!!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of three numbers is 26. Twice the first minus the second is two less than the third. the third is the equivalent to the difference between the second and three times the first. find the three numbers.
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Equations:
x + y + z = 26
2x- y = z - 2
z = y -3x
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Rearrange:
x + y + z = 26
2x - y - z = -2
3x - y + z = 0
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Use any method you know to get:
x = 8
y = 21
z = -3
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Cheers,
Stan H.