Modular Equation 1

If \(x , y\) are integers that satisfies the conditions below,

\[ \displaystyle \begin {cases} 4x + 5y \equiv 9 \mod 23 \\ 5x + 11y \equiv 9 \mod 23 \\ x , y > 0 , \end {cases}\]

What is the value of \( (x+y) \mod 23 \) ?

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