The solution to the system of equations is:

$x = 6, \quad y = 4$

Would you like more details or have any other questions?

Here are 5 related questions to deepen your understanding:

1. How can we manipulate fractions to solve systems of linear equations more efficiently?
2. What is the graphical interpretation of solving a system of equations like this?
3. Can this system of equations be solved using substitution or elimination methods? How would that work?
4. How would the solution change if the coefficients of $x$ or $y$ in the equations were altered?
5. What are the advantages of using symbolic solvers, like in this case, compared to manual methods?

Tip: When solving equations involving fractions, it's often helpful to multiply through by the denominators to eliminate fractions early on.