https://file.aiquickdraw.com/mathbot/file/1726801287793kqirdlkx.jpg

In the provided image, the system of two linear equations is graphed, and the solution to a system of linear equations corresponds to the point where both lines intersect.

By observing the graph:

- The two lines intersect at point **A**.

Point **A** represents the solution to the system of equations because this is the point where both lines meet.

### Answer: **A**

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Here are 5 related questions to expand on this topic:

1. How can you determine the equations of the two lines from the graph?
2. What is the significance of a system of equations having one solution, no solution, or infinitely many solutions?
3. How would you solve this system algebraically if the equations were provided?
4. How does the slope of each line influence the intersection point?
5. Can a system of two linear equations have more than one solution?

**Tip**: The solution to a system of equations is always the point where the graphs of the equations intersect (if they intersect). If they do not intersect, the system has no solution, and if they are the same line, the system has infinitely many solutions.

A system of two linear equations is graphed below. Which point is the solution to the system?

Discover how to determine the solution to a system of two linear equations by identifying the intersection point on the graph. This problem covers key algebraic concepts such as systems of linear equations and graphing, ideal for students in Grades 7-9.

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