In this problem, Aniyah and Jessica are interpreting the graph of a system of equations. Let’s analyze it step by step.

Key Information

• Aniyah says: The system has no solution because the lines do not cross and are growing apart.
• Jessica says: The system has a solution because the lines are not parallel.

Analyzing the Graph

From the graph:

1. The two lines are clearly parallel—they never intersect.
2. If two lines are parallel, they have the same slope but different $y$-intercepts.
3. A system of equations where the lines are parallel has no solution because there is no point where the lines cross.

Who is Correct?

Aniyah is correct. Since the lines do not intersect and are parallel, the system of equations has no solution.

Why is Jessica Wrong?

Jessica says the lines are not parallel, but based on the graph, the lines are parallel. If lines do not cross and are parallel, no solution exists.

Final Answer:

Aniyah is correct because the system of equations represents two parallel lines that never intersect, so there is no solution.

Let me know if you want more details or further clarification!

Related Questions

1. What does it mean for a system of equations to have infinitely many solutions?
2. How can you determine if two lines are parallel by looking at their equations?
3. What is the difference between consistent and inconsistent systems of equations?
4. How do you find the solution to a system of equations by graphing?
5. Can two non-parallel lines ever have no solution?

Tip: When graphing a system of equations, check if the lines have the same slope. If they do and their $y$-intercepts are different, the lines are parallel and the system has no solution.