What is a linear system and how does it relate to mathematical equations?

A linear system is a set of equations involving multiple variables that can be solved simultaneously. These equations are linear, meaning they involve only variables raised to the first power and do not have any exponents or other non-linear terms. Solving a linear system involves finding values for the variables that satisfy all of the equations in the system at the same time. This process is often done using methods such as substitution, elimination, or matrix operations.