1. **State the problem:** We are asked to find how many solutions exist for the system of linear equations: $$y = 3x + 8$$ $$y = 3x + 8$$ 2. **Understand the system:** Both equations are identical, meaning they represent the same line. 3. **Recall the rule:** For two linear equations: - If they are the same line, there are infinitely many solutions (all points on the line). - If they are parallel but different lines, there are no solutions. - If they intersect at one point, there is exactly one solution. 4. **Apply the rule:** Since both equations are exactly the same, the system has infinitely many solutions. **Final answer:** $$\text{There are infinitely many solutions.}$$