SOLUTION: The sum of two numbers is ten. Three times the larger number is three less than eight times the smaller number. What is the smaller number?

Question 417874: The sum of two numbers is ten. Three times the larger number is three less than eight times the smaller number. What is the smaller number?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of two numbers is ten. Three times the larger number is three less than eight times the smaller number. What is the smaller number?
Equations:
x: larger
y: smaller
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x + y = 10
3x = 8y-3
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Substitute for "x" and solve for "y":
3(10-y) = 8y - 3
30 -3y = 8y - 3
11y = 33
y = 3 (smaller)
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x = 10-y = 7 (larger)
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Cheers,
Stan H.
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