1. **State the problem:** Solve the system of equations simultaneously: $$x + y = 6$$ $$y = -4$$ 2. **Use substitution:** Since the second equation gives $y = -4$, substitute this into the first equation: $$x + (-4) = 6$$ 3. **Simplify the equation:** $$x - 4 = 6$$ 4. **Solve for $x$:** $$x = 6 + 4$$ $$x = 10$$ 5. **Write the solution:** The solution to the system is the point where both equations meet: $$(x, y) = (10, -4)$$ 6. **Graph explanation:** - The line $x + y = 6$ can be rewritten as $y = 6 - x$. - The line $y = -4$ is a horizontal line crossing the y-axis at $-4$. - Their intersection point is $(10, -4)$, which is the solution. Final answer: $(10, -4)$