https://file.aiquickdraw.com/mathbot/file/1737075813837s0daboia.jpg

The problem involves finding the solution to the system of equations using the given graphs of two lines:

1. \( 4x - y = 3 \)
2. \( x + y = 2 \)

From the image, we can see the graphs of two lines. The point where these lines intersect represents the solution to the system of equations.

By inspecting the graph, we can observe that the lines intersect at the point \( (2, 0) \).

### Therefore, the solution to the system of equations is:
\[
\boxed{(2, 0)}
\]

This corresponds to option **D**.

Would you like further details or a deeper explanation of how to solve this system? Here are some related questions you might find interesting:

1. How do you solve a system of linear equations algebraically?
2. How do you determine the intersection point of two lines graphically?
3. What are the steps to find the slope and y-intercept of a line from its equation?
4. How do you check if the solution to a system is correct?
5. How can you solve systems of equations with more than two variables?

**Tip**: When solving systems graphically, always check that the lines are plotted correctly and ensure you read the intersection point accurately.

Given the graphs of f(x) = 4x - 3 and g(x) = -x + 2, find the solution to this system of equations: 4x - y = 3, x + y = 2.

Learn how to solve the system of linear equations 4x - y = 3 and x + y = 2 using their graphs. Identify the intersection point of the lines, representing the solution. Understand linear equations and their graphical interpretation. Ideal for Grade 8-10 students.

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