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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.
This is a tutorial on solving 2 by 2 systems of linear equations. Detailed solutions and explanations are provided. Example 1: Solve the system of linear equations. -2x + 3y = 8. 3x - y = -5. Solution to example 1. multiply all terms in the second equation by 3.