1. Which method do I use when solving systems of three simultaneous equations?
There are several methods. Probably the most straight forward one is the elimination method.
Questions in examinations usually do not specify which method to use.
2. What do I do if I come across a system of three simultaneous equations which is inconsistent or dependent?
Check your working to ensure that you have not made a mistake.
Then make a comment on the type of system you are dealing with and why you think it is of this type.
