When solving a system of equations using substitution, arriving at a statement like $7 = 7$ indicates that the equations are dependent, meaning they represent the same line in a two-dimensional graph. This implies that there are infinitely many solutions, as every point on the line satisfies both equations. Graphically, this scenario reflects a situation where the two lines overlap entirely rather than intersecting at a single point. Thus, rather than a unique solution or no solution at all, the system has a solution set that includes every point along the line. This is a hallmark of systems where the equations are not only consistent but also dependent.

Would you like more details or have any questions about this topic? Here are five related questions for further exploration:

1. What does it mean for two equations to be independent or inconsistent?
2. How can you visually identify dependent equations on a graph?
3. What are some other methods to solve systems of equations besides substitution?
4. Can you provide an example of a system that results in a unique solution?
5. How does the concept of parallel lines relate to systems of equations?

Tip: Always check for consistency in systems by substituting values back into the original equations.