For a pair of equations $\frac{2}{x} + \frac{3}{y} = 17$ and $\frac{3}{x} + \frac{2}{y} = 13$,find the value of $\frac{1}{x} + \frac{1}{y}$.

  • A
    $5$
  • B
    $30$
  • C
    $20$
  • D
    $6$

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