\chapter{Simultaneous algebraic equations}




One interesting problem in algebra is finding a solution that satisfies multiple algebraic equations at once.


\section{Consistency}

It is possible to form inconsistent sets of simultaneous equations;


\section{Method of Substitution}

\section{Simultaneous linear equations}

Fortunately, a system of linear equations has 2 straightforward methods that give a solution (when the system is consistent).
The study of linear equations is futher enriched by the field of linear algebra. 

\subsection{Substitution}
\subsection{Elimination}