Question

What is a system of a linear equation?

Answer 1

System of linear equations:

The system of linear equations is a collection of one or more linear equations with the same variables.

Example: $\left\{\begin{array}{l}2x+4y=6\\ 3x+5y=12\end{array}\right.$

Three types of systems of linear equations:

1. Independent system: The system has exactly one solution.
2. Dependent system: The system has infinitely many solutions.
3. Inconsistent system: The system has no solution.