8) \( \begin{array}{l}7 x+2 y=24 \\ 8 x+2 y=30\end{array} \)

To solve the given system of equations, we can start by subtracting the first equation from the second equation. This helps us eliminate one of the variables: \[ (8x + 2y) - (7x + 2y) = 30 - 24 \] This simplifies to: \[ x = 6 \] Now that we have the value of \(x\), we can substitute it back into one of the original equations to find \(y\). Let's use the first equation: \[ 7(6) + 2y = 24 \] This simplifies to: \[ 42 + 2y = 24 \] \[ 2y = 24 - 42 \] \[ 2y = -18 \] \[ y = -9 \] So the solution to the system of equations is \(x = 6\) and \(y = -9\). Therefore, the solution set is \((6, -9)\).