Question: User: 2x - y = 2
2x - y = -5 solve by graphing
1. **State the problem:** We need to solve the system of equations by graphing:
$$2x - y = 2$$
$$2x - y = -5$$
2. **Rewrite each equation in slope-intercept form $y = mx + b$:**
For the first equation:
$$2x - y = 2 \implies -y = 2 - 2x \implies y = 2x - 2$$
For the second equation:
$$2x - y = -5 \implies -y = -5 - 2x \implies y = 2x + 5$$
3. **Interpret the equations:** Both lines have the same slope $m = 2$ but different $y$-intercepts ($-2$ and $5$).
4. **Graphing insight:** Since the slopes are equal and intercepts differ, the lines are parallel and will never intersect.
5. **Conclusion:** The system has no solution because the lines do not intersect.
**Final answer:** No solution (the system is inconsistent).