To evaluate the expression \( x - \frac{y}{3} \) when \( x = 9 \) and \( y = 6 \):
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Substitute the values of \( x \) and \( y \) into the expression: \[ 9 - \frac{6}{3} \]
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Calculate \( \frac{6}{3} \): \[ \frac{6}{3} = 2 \]
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Now, replace \( \frac{6}{3} \) with 2 in the expression: \[ 9 - 2 \]
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Finally, perform the subtraction: \[ 9 - 2 = 7 \]
Therefore, the value of the expression is \( \boxed{7} \).