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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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       Log On


   



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) About Me  (Show Source):
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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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