https://file.aiquickdraw.com/mathbot/file/172651801998876elaixv.jpg

The image shows a graph with two distinct lines. These two lines intersect at a single point, which means they are not parallel and not the same line.

In a system of linear equations, if two lines intersect at exactly one point, the system has **one solution**.

Thus, the correct answer is **"One Solution."**

Would you like further details on how to identify different cases for solutions in systems of equations? Here are 5 related questions for further exploration:

1. What does it mean if two lines have "no solution"?
2. How can you tell if two lines have infinitely many solutions from a graph?
3. What is the algebraic representation of systems of equations with one solution?
4. What happens when two lines are parallel but not overlapping?
5. How do you solve systems of equations using substitution or elimination methods?

**Tip:** If two lines are parallel, they will never meet, and the system will have no solution.

How many solutions are there for the system of linear equations represented by the graph?

Determine how many solutions exist for a system of linear equations using the graph. This example features two distinct lines that intersect at one point, which means the system has one solution. Suitable for Grades 7-9.

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