1. Linear Equations in Two Variables A Linear Equation in Two Variables is any equation that can be written in the form where A and B are not both zero.

2. Example 1 Consider the equation Add – 2y to both sides Add 4 to both sides Since this equation is in the form of the original equation is a linear equation in two variables.

3. A solution to a linear equation in two variables is any ordered pair (x,y) that satisfies the equation. The ordered pair (4,0) is a solution, since Example 2 Consider the equation

4. Try the ordered pair (3,1) The ordered pair (3,1) is not a solution.