\begin{tabular}{|l|l} Determine whether \( (9,-2) \) is a solution of \( 5 p-3 q=51 \). & \( \begin{array}{l}\text { Is }(9,-2) \text { is a solution of the equation } \\ 5 p-3 q=51 \text { ? } \\ \text { O Yes } \\ \text { O No }\end{array} \)\end{tabular}

To determine if the point \( (9,-2) \) is a solution to the equation \( 5p - 3q = 51 \), we simply substitute \( p = 9 \) and \( q = -2 \) into the equation: \[ 5(9) - 3(-2) = 45 + 6 = 51 \] Since both sides of the equation equal 51, this means \( (9, -2) \) is indeed a solution. So, the answer is: Yes!