Determine whether \( (5,-2) \) is a solution of \( 6 q-7 p=48 \). Unless stated otherwise, to determine whether an ordered pair is a solution of an equation, use the first number in the ordered pair to replace the variable that occurs first alphabetically. Use the second number in the ordered pair to replace the other variable. The variable occurs first alphabetically amongst the variables in the given equation.

To determine whether \( (5, -2) \) is a solution to the equation \( 6q - 7p = 48 \), we will replace \( p \) with \( 5 \) and \( q \) with \( -2 \) based on the alphabetical order of the variables. Substituting \( p = -2 \) and \( q = 5 \) into the equation gives us: \[ 6(5) - 7(-2) = 48 \] \[ 30 + 14 = 48 \] \[ 44 \neq 48 \] Since \( 44 \) does not equal \( 48 \), the ordered pair \( (5, -2) \) is not a solution to the equation \( 6q - 7p = 48 \).