The document discusses the elimination method for solving simultaneous equations. It involves adding or subtracting two equations to eliminate one of the variables. This leaves an equation with only one variable that can then be solved for. Examples are provided to demonstrate how to eliminate variables by adding or subtracting equations. It notes that sometimes equations need to be multiplied by a number first to get equal terms that can cancel out before elimination can occur. The goal is to reduce the simultaneous equations down to one equation with one variable that can then be solved.