The graphs provided appear to depict different systems of linear equations. A system of equations has no solution when the lines are parallel and do not intersect.

Here is the analysis of each graph:

1. First graph: The two lines (blue and green) are parallel and do not intersect. This indicates that the system of equations has no solution.

2. Second graph: The lines are not parallel; they intersect at one point, which means the system has one solution.

3. Third graph: The lines are also parallel and will not intersect. This means the system of equations has no solution.

Thus, the graphs with no solution are the first and third graphs.

Would you like to discuss these concepts further, or do you have additional questions? Here are some related topics you might find interesting:

1. What happens if two lines are perpendicular in a system of equations?
2. How do you find the solution for a system of equations with one intersection point?
3. What is the significance of the slope in determining whether lines are parallel?
4. How can you solve a system of equations using the substitution method?
5. What is the graphical interpretation of a system of equations with infinitely many solutions?

Tip: When analyzing graphs for no solution, focus on the slopes of the lines. Parallel lines have the same slope but different y-intercepts, which ensures they never meet!