Systems of Equations
An equation is an equality that we need to satisfy by solving for the values of a specific variable. In a system of equations, we have multiple equations involving multiple variables, and the goal is still the same: solving for the values of these variables so that each and every equation in the system is satisfied.
Overall, there is no limit to the number of equations a system can have. However, it can be rigorously proven that when the number of equations a system has is not equal to the number of its variables, the system has either infinitely many solutions or no solutions. In this section, we will only be considering the case where these two numbers match.
Additionally, we will consider two different types of systems of equations: systems of linear equations and those of non-linear equations. We will consider the methods of solving each of these two types of systems of equations, both by hand and by using Python. First, let's discuss the concept...
