The problem presents two linear equations and asks for the approximate solution to the system of equations by analyzing the graph provided.

The equations given are: $2x - y = 1$ $x + y = 6$

The graph shows the lines representing these equations, and the intersection point of the two lines is the solution to the system of equations. To solve this visually:

• The point where the two lines intersect appears to be close to $(x = 2.3, y = 3.7)$.

Thus, the approximate solution is:

$x = 2.3, \quad y = 3.7$

This matches the second option provided in the multiple-choice answers.

Would you like more details on solving the system algebraically or graphically?

Here are five related questions:

1. How do you algebraically solve a system of linear equations using substitution?
2. What is the graphical interpretation of solving a system of equations?
3. How can you check if the solution to a system is accurate using substitution?
4. What does it mean if two lines are parallel in terms of a system of equations?
5. How can you verify that the intersection point is the only solution?

Tip: When solving systems of equations graphically, always ensure the scale and labels on the axes are clear to avoid misinterpretation of the solution point.