Determining Whether a System of Linear Equations Is Inconsistent

1- Is getting a false equation during the normal process of solving a system of linear equations (e.g. substitution/elimination) is the only way we ensure this system has no solutions?

2- If no, what other ways available?

1- Is getting a false equation during the normal process of solving a system of linear equations (e.g. substitution/elimination) is the only way we ensure this system has no solutions?

2- If no, what other ways available?