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To find the solution to this system of equations by looking at the graph, we need to identify the point where the two lines intersect. The intersection point represents the values of \( x \) and \( y \) that satisfy both equations simultaneously.

In the graph:

- The red line and blue line intersect at the point \( (2, 3) \).

So, the solution to the system of equations is:

**\( (2, 3) \)**.

Would you like further explanation on this, or do you have any questions?

Here are five related questions to deepen your understanding:
1. How do you determine the slope of a line by looking at a graph?
2. Why is the intersection point of two lines considered the solution to a system of equations?
3. What if the lines were parallel? What would that mean for the system of equations?
4. How can you verify the solution by substituting values into the equations?
5. How would you find the solution if the equations were given without a graph?

**Tip:** To confirm if two lines are intersecting at a particular point, check if the point satisfies both equations of the lines.

The graphs of two equations in a system of equations are given below. Use the graph to identify the solution to the system.

Learn how to find the solution to a system of linear equations by identifying the intersection point on a graph. This problem demonstrates key concepts in graphing systems of equations, suitable for students in Grades 8-10.

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