1. **State the problem:** Solve the system of linear equations: $$-2x + y = 8$$ $$y = 6$$ 2. **Use substitution method:** Since the second equation gives $y$ directly, substitute $y = 6$ into the first equation. 3. **Substitute and solve for $x$:** $$-2x + 6 = 8$$ 4. **Isolate $x$:** $$-2x = 8 - 6$$ $$-2x = 2$$ 5. **Divide both sides by $-2$:** $$x = \frac{2}{\cancel{-2}} \times \cancel{-1} = -1$$ 6. **Write the solution as a coordinate point:** $$(x, y) = (-1, 6)$$ This means the two lines intersect at the point $(-1, 6)$, which is the solution to the system.