To determine if (10, 10) is a solution to the inequality \( y \leq 9x + 6 \), we can substitute \( x = 10 \) and \( y = 10 \) into the inequality and check if it holds true.
First, calculate \( 9x + 6 \) when \( x = 10 \):
\[ 9(10) + 6 = 90 + 6 = 96 \]
Next, check if \( 10 \leq 96 \):
\[ 10 \leq 96 \quad \text{(True)} \]
Since the statement is true, we conclude that (10, 10) is indeed a solution to the inequality.
So, the answer is yes.