SOLUTION: The sum of two integers is 10. Three times the larger integer is three less than eight times the smaller integer. Find the integer

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Question 722470: The sum of two integers is 10. Three times the larger integer is three less than eight times the smaller integer. Find the integer
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 10 ----> x = 10 - y
3x = 8y - 3

Substitute x = 10-y into the second equation.

3(10 - y) = 8y - 3
30 - 3y = 8y - 3
-11y = -33
y = 3

solution: (x, y) = (7, 3)