SOLUTION: The sum of three numbers is -2. The sum of three times the first number, double the second number, and the third number is 9. The difference between the second number and half the

Question 1005374: The sum of three numbers is -2. The sum of three times the first number, double the second number, and the third number is 9. The difference between the second number and half the third number is 10. Find the numbers.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of three numbers is -2. The sum of three times the first number, double the second number, and the third number is 9. The difference between the second number and half the third number is 10. Find the numbers.
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Equations:
a + b + c = -2
3a + 2b + c = 9
b - (c/2) = 10
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Rearrange::
a + b + c = -2
3a + 2b + c = 9
0a + 2b - c = 20
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Use any method you know to get::
a = 3
b = 5
c = -10
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Cheers,
Stan H.
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