1. **State the problem:** Solve the system of linear equations: $$-6x + y = -50$$ $$y = -4x$$ 2. **Use substitution method:** Since the second equation gives $y$ in terms of $x$, substitute $y = -4x$ into the first equation. 3. **Substitute and simplify:** $$-6x + (-4x) = -50$$ $$-6x - 4x = -50$$ $$-10x = -50$$ 4. **Solve for $x$:** $$x = \frac{-50}{-10}$$ $$x = 5$$ 5. **Find $y$ using $y = -4x$:** $$y = -4(5)$$ $$y = -20$$ 6. **Final solution:** The solution to the system is $x = 5$, $y = -20$. This means the two lines intersect at the point $(5, -20)$.