SOLUTION: The sum of one-third a number and half of a second number is 7. the difference between the second number and two-thirds of the first number is 2. what is each number?

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Question 377661: The sum of one-third a number and half of a second number is 7. the difference between the second number and two-thirds of the first number is 2. what is each number?
Answer by stanbon(75887) About Me  (Show Source):
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The sum of one-third a number and half of a second number is 7. the difference between the second number and two-thirds of the first number is 2. what is each number?
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Equations:
(1/3)x + (1/2)y = 7
y - (2/3)x) = 2
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Rearrange and simplify:
3y + 2x = 42
3y - 2x = 6
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6y = 48
y = 8
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Substitute and solve for "x":
24 - 2x = 6
2x = 18
x = 9
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Cheers,
Stan H.