1. **State the problem:** Solve the system of equations: $$\begin{cases} x = 3y \\ 2x + 4y = 10 \end{cases}$$ 2. **Use substitution method:** Since $x = 3y$, substitute $x$ in the second equation: $$2(3y) + 4y = 10$$ 3. **Simplify the equation:** $$6y + 4y = 10$$ $$10y = 10$$ 4. **Solve for $y$:** $$y = \frac{10}{10}$$ $$y = 1$$ 5. **Find $x$ using $x = 3y$:** $$x = 3(1) = 3$$ 6. **Final answer:** $$\boxed{(x, y) = (3, 1)}$$