Question

Chứng minh rằng:

\(5a+2b⋮17\)\(\Leftrightarrow\) \(9a+7b⋮17\)

Answer 1

Ta có \(5a+2b⋮17\)=>  \(12\left(5a+2b\right)⋮17\)

<=>  \(60a+24b⋮17\)

<=> \(\left(51a+17b\right)+\left(9a+7b\right)⋮17\)

<=> \(9a+7b⋮17\) \(\left(do51a+17b⋮17\right)\)

Answer 2

Còn cách khác?