1. **Stating the problem:** We are given two equations involving sequences: $a_3 = 6 + a_2$ and $a_1 = a_2 - 9$. We want to find the values of $a_1$, $a_2$, and $a_3$ if possible. 2. **Understanding the problem:** We have two equations but three unknowns: $a_1$, $a_2$, and $a_3$. To solve for all three, we need either a third equation or additional information. 3. **Using the given equations:** - From the first equation: $$a_3 = 6 + a_2$$ - From the second equation: $$a_1 = a_2 - 9$$ 4. **Expressing all variables in terms of $a_2$:** - $a_1 = a_2 - 9$ - $a_3 = a_2 + 6$ 5. **Conclusion:** Without a third equation or value for one of the terms, we cannot find unique numerical values for $a_1$, $a_2$, and $a_3$. We can only express $a_1$ and $a_3$ in terms of $a_2$. **Final answer:** The values depend on $a_2$. Specifically, $$a_1 = a_2 - 9$$ and $$a_3 = a_2 + 6$$. Without more information, the problem cannot be fully solved.