https://file.aiquickdraw.com/mathbot/file/1730369135491sohoqs74.jpg

To find the solution \((x, y)\) to the system of equations represented by the lines in the graph, we need to determine the point where the two lines intersect, as this point will be the solution for the system of linear equations.

Examining the graph:
- The two lines appear to intersect at the point \((4, 4)\).
  
Thus, the solution \((x, y)\) to the system is:
\[
(x, y) = (4, 4)
\]

Would you like a breakdown of how to verify this solution or have any questions?

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Here are some related questions to deepen understanding:

1. How can you verify the solution by substituting into the original equations (if given)?
2. What would be the solution if the lines were parallel?
3. How can we identify the slope of each line from the graph?
4. What happens if the lines overlap entirely?
5. How can systems of linear equations be solved algebraically without a graph?

**Tip:** The solution to a system of linear equations on a graph is the intersection point of the lines.

The graph of a system of linear equations is shown. What is the solution \((x, y)\) to the system?

Find the solution to a system of linear equations by identifying the intersection point on a graph. This exercise involves algebraic concepts, graphing, and systems of equations, ideal for students in Grades 7-9.

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