Introduction to the Elimination Method Page 1 of 3 Elimination Method Activities

Let's take a look at an example of a system of linear equations. The system shown to the right consists of two linear equations: y = 2x + 3 and y = 3x + 13. You can see from the graph that the two lines cross at the point (2,7). This means that the solution to this system is (2,7). This means this is the ordered pair that will work in both equations. If you plug in 2 into either equation, you'll get 7 for y. 