When you do not have a graphing calculator, using tables or graphs is not necessarily the most efficient way to solve a system of equations. If the intersection does not have integral coordinates, using tables or graphing without the aid of a calculator just allows for an approximate or estimated solution.

In those cases,  use algebraic methods of substitution and elimination to find an accurate solution to the system.

In this resource, we are going to solve systems by elimination. The process of elimination involves adding two equations together so that one of the variables is removed or eliminated from the problem, leaving one equation with one variable.

Elimination Method

Video segment. Assistance may be required. Watch this video in which the elimination process is used to solve systems of linear equations.

Source: Solving Systems of Equations by Elimination, Tom Rich, Vimeo