3. \( \left\{\begin{array}{l}6 x=24 \\ y=-x-3\end{array}\right. \)

First, let's solve the equation \(6x = 24\): Dividing both sides by 6 gives \(x = 4\). Now, substituting \(x\) into the second equation \(y = -x - 3\) results in \(y = -4 - 3 = -7\). Hence, the solution to the system is \( (4, -7) \). This system of equations can represent various real-world scenarios. For instance, if you think of \(x\) as the number of items produced and \(y\) as the profit or loss incurred based on production levels, solving this system provides insight into how production impacts profit—essentially a balance in business decision-making.