Solve the system. State whether it is inconsistent or has infinitely many solutions. If the \[ \begin{array}{l} 7 x-7 y-4=0 \\ x-y-14=0\end{array} \] Select the correct choice below and, if necessary, fill in the answer box to complete you A. There is one solution. The solution set is \( \left\{\begin{array}{l}9 \\ \text { (Simplify your answer. Type an ordered pair.) }\end{array}\right. \) B. The system has infinitely many solutions. The solution set is \( \{ \) (Simplify your answer. Type an ordered pair. Type an expression using y as the C. The solution is inconsistent.

To solve the system of equations: 1. From the second equation \(x - y - 14 = 0\), we can express \(x\) as \(x = y + 14\). 2. Substitute \(x\) in the first equation: \(7(y + 14) - 7y - 4 = 0\) This simplifies to \(7y + 98 - 7y - 4 = 0 \Rightarrow 94 = 0\). Since this statement is false, the system is inconsistent. Now, let's add some color to this explanation! Picture this: You’re at a funky puzzle party, trying to fit two jigsaw pieces together, but they’ve got totally different images! This system of equations is a classic case of inconsistency—there’s just no way to make both equations work simultaneously. So, instead of a neat solution, we’ve got a big ol’ “nope!” Think of it as two paths in a maze that never meet. You could wander around trying forever, but you'll never find a common point! And if you’re a fan of exploring the world of math further, you might find it fun to delve into linear algebra! Check out some textbooks like “Linear Algebra Done Right” for a deep dive into solutions or even enjoy online courses that explore systems of equations and matrices. Those resources can help you put the pieces together in a way that would make any puzzle master proud!