题目信息
When the integer n is divided by 17, the quotient is x and the remainder is 5. When n is divided by 23, the quotient is y and the remainder is 14. Which of the following is true?
A:23x + 17y = 19
B:17x − 23y = 9
C:17x + 23y = 19
D:14x + 5y = 6
E:5x − 14y = −6
参考答案及共享解析
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正确答案：
B:17x − 23y = 9
Algebra Remainders; Simplifying algebraic expressions
It is given that n = 17x + 5 and n = 23y + 14. It follows that 17x + 5 = 23y + 14, so 17x − 23y = 9.
The correct answer is B.
It is given that n = 17x + 5 and n = 23y + 14. It follows that 17x + 5 = 23y + 14, so 17x − 23y = 9.
The correct answer is B.
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