Answer:
![Rb_2 SO_4 + 2LiF \rightarrow 2RbF+ Li_2SO_4](https://img.qammunity.org/2021/formulas/chemistry/high-school/wgvin7k0ubb8l059025imps2mnemrtnw9u.png)
Step-by-step explanation:
In this problem, we have the equation of a chemical reaction to complete.
The uncomplete equation is:
![Rb_2 SO_4 + LiF \rightarrow RbF+](https://img.qammunity.org/2021/formulas/chemistry/high-school/pylwxwen7rnnc5t8hmb6349fi4wdp4i1xf.png)
In order to complete the equation, the missing compound must include the missing elements, which are:
![SO_4](https://img.qammunity.org/2021/formulas/chemistry/college/5nwvcisbietwxa4vdx5y93umgz7jqoxrao.png)
![Li](https://img.qammunity.org/2021/formulas/chemistry/high-school/4t5z41nfdt0q9331ntppnoc7yohr2jwf9h.png)
So the missing compound must be
![LiSO_4](https://img.qammunity.org/2021/formulas/chemistry/high-school/xu8xfw9mxss6i7iw0hqsblwkiyl8y53q3k.png)
So now we can write:
![Rb_2 SO_4 + LiF \rightarrow RbF+ LiSO_4](https://img.qammunity.org/2021/formulas/chemistry/high-school/kzvtpgj5jknwl8fcmv79k903tu2h32stef.png)
However, the reaction is not balanced yet, in fact we see that:
- We have 2 atoms of Rb on the left, and 1 atom only on the right
So we add a 2 in front of RbF:
![Rb_2 SO_4 + LiF \rightarrow 2RbF+ LiSO_4](https://img.qammunity.org/2021/formulas/chemistry/high-school/7vttp4y50fy0k6g4kscz6dyxzjddx6bs2a.png)
However, now the F is not balanced, so we also add a 2 in front of LiF:
![Rb_2 SO_4 + 2LiF \rightarrow 2RbF+ LiSO_4](https://img.qammunity.org/2021/formulas/chemistry/high-school/sb3ehby5a3imuugls6lh5mniraxydw924h.png)
Finally, we see now that the Li is not balanced, therefore:
![Rb_2 SO_4 + 2LiF \rightarrow 2RbF+ Li_2SO_4](https://img.qammunity.org/2021/formulas/chemistry/high-school/wgvin7k0ubb8l059025imps2mnemrtnw9u.png)
So now the equation is balanced.