QD

Chứng minh rằng: Nếu 7x+4y chia hết cho 37 thì 13x+18y chia hết cho 37.

SS
9 tháng 4 2016 lúc 21:49

nhân cái ban đàu vs 4 rồi + vs cái kia nó chia hết cho 37 => 13x+18y chia hết cho 37

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BA
9 tháng 4 2016 lúc 21:57

Ta có :

\(9.\left(7x+4y\right)-2.\left(13x+18y\right)=63x+36y-26x-36y=37x\)chia hết cho 37.

Vì 7x + 4y chia hết cho 37 => 9.(7x + 4y) chia hết cho 37

=> 2.(13x+18y) chia hết cho 37 mà 2 ko chia hết ho 37 => 13x + 18y chia hết cho 37 (đpcm)

k nha bạn

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IE
7 tháng 2 2017 lúc 4:29

Hay

Xuất sắc

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NT
10 tháng 11 2017 lúc 19:53

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