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Know if an ordered pair is a solution to a system of linear equations in two variables or not. Solve a system of linear equations in two variables by graphing. Solve a system of linear equations in two variables by the substitution method. Solve a system of linear equations in two variables by the elimination method. In this tutorial we will be specifically looking at systems that have two equations and two unknowns. Tutorial 20: Solving Systems of Linear Equations in Three Variables will cover systems that have three equations and three unknowns.
A system of nonlinear equations is two or more equations, at least one of which is not a linear equation, that are being solved simultaneously. Note that in a nonlinear system, one of your equations can be linear, just not all of them. In this tutorial, we will be looking at systems that have only two equations and two unknowns. In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true.