1. **State the problem:** Solve the system of linear equations: $$\frac{3}{5}$$ $$3x - 3y = 33$$ $$x - y = 11$$ 2. **Analyze the equations:** The second equation is simpler and can be used to check consistency or solve for one variable. 3. **Simplify the first equation:** Divide the entire first equation by 3 to simplify: $$\frac{\cancel{3}x - \cancel{3}y}{\cancel{3}} = \frac{33}{3}$$ which simplifies to $$x - y = 11$$ 4. **Compare with the second equation:** The second equation is also $$x - y = 11$$ 5. **Interpretation:** Both equations are identical, meaning they represent the same line. 6. **Conclusion:** The system has infinitely many solutions along the line $$x - y = 11$$ or equivalently $$y = x - 11$$. Any pair $(x, y)$ satisfying this equation is a solution. **Final answer:** The system has infinitely many solutions given by $$y = x - 11$$.