The solution to the system of equations:

$2x + y = 3$ $x + 3y = 4$

using the graphical method, is the point of intersection of the two lines. The solution is:

$x = 1, \quad y = 1$

As shown in the graph, the lines intersect at the point $(1, 1)$.

Would you like any further details or explanations on this method?

Here are some related questions:

1. How would you solve the system using substitution?
2. Can you explain solving the system using the elimination method?
3. What are the properties of linear equations in two variables?
4. How can we interpret the graphical method for inconsistent systems?
5. How do we handle systems with infinitely many solutions graphically?

Tip: The graphical method is ideal for visualizing solutions, but for more precise answers, algebraic methods like substitution or elimination are preferred!