https://file.aiquickdraw.com/mathbot/file/1727320121444pkqlt8la.jpg

The graph provided shows two linear equations, represented by the red and blue lines. To find the solution to the system of equations, we need to identify the point where these two lines intersect, as that point gives the common solution for both equations.

From the graph, the two lines intersect at the point \((4, 6)\). This means the solution to the system of equations is:

\[
(x, y) = (4, 6)
\]

Would you like more details on how to interpret this graph? Here are some related questions to deepen your understanding:

1. How can you derive the equations of the lines from the graph?
2. What does it mean if two lines do not intersect on a graph?
3. How can you verify the solution algebraically if you know the equations of the lines?
4. Can a system of equations have more than one solution?
5. How do parallel lines behave in a system of equations?

**Tip**: The intersection point of two lines in a graph represents the solution that satisfies both equations simultaneously.

Use the graph to find the solution to the system of equations. Write the solution as a coordinate.

Learn how to solve a system of linear equations by graphing. Identify the solution as the point where two lines intersect. This concept is key in algebra and is suitable for students in Grades 8-10.

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