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Yuki888 [10]
2 years ago
11

both m and n are integers. 5m 3n is divisible by 11.what is the remainder when 9m n is divided by 11?

Mathematics
1 answer:
Darya [45]2 years ago
4 0
Hello,

9m+n is divisible by 11 (remainder =0)

Since
5m+3n=11*k\\

m= \dfrac{11*k-3n}{5}\\

9m=9*\dfrac{11*k-3n}{5}\\

9m+n=9*\dfrac{11*k-3n}{5}+ \dfrac{5n}{5} \\

9m+n= \dfrac{99k-27n+5n}{5}\\

9m+n=11* \dfrac{9k-2n}{5}\\




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