which graph shows a system of equations with infinitely many solutions?

Answer:

The graph where the two lines overlap completely (co - incident lines) shows a system of equations with infinitely many solutions. In the given set of graphs, the graph with two lines that lie exactly on top of each other is the one that represents a system with infinitely many solutions. Without specific labels on the graphs, we can't point to a particular one by name, but conceptually, it's the one where the two lines are indistinguishable as they are the same line.

Explanation:

Step1: Recall solution concepts

A system of linear equations has infinitely many solutions when the equations are equivalent, meaning they represent the same line.

Step2: Analyze graph types

Intersecting lines have one solution, parallel lines have no solution, and co - incident lines have infinitely many solutions.

Step3: Identify correct graph

Look for the graph where the two lines overlap.