1. **State the problem:** Solve the system of equations: $$4x + 3y = -1$$ $$x = 3y + 11$$ 2. **Use substitution method:** Since the second equation gives $x$ in terms of $y$, substitute $x = 3y + 11$ into the first equation. 3. **Substitute and simplify:** $$4(3y + 11) + 3y = -1$$ $$12y + 44 + 3y = -1$$ $$15y + 44 = -1$$ 4. **Isolate $y$:** $$15y = -1 - 44$$ $$15y = -45$$ 5. **Divide both sides by 15:** $$y = \frac{-45}{15}$$ $$y = \cancel{\frac{15 \times -3}{\cancel{15}}} = -3$$ 6. **Find $x$ using $x = 3y + 11$:** $$x = 3(-3) + 11$$ $$x = -9 + 11$$ $$x = 2$$ 7. **Final answer:** The coordinates of the solution are $(2, -3)$.