# Always Divisible By 17

**Number Theory**Level 2

\(x\) and \(y\) are integers such that \( (2x+3y) \) is divisible by 17.

For which of the following values of \(k\), must \( 9x + ky \) always be divisible by 17?

For which of the following values of \(k\), must \( 9x + ky \) always be divisible by 17?

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