# Exploring Linear Systems

- Author:
- Alfonso Garcia, Tim Brzezinski

In the applet below, note the system of equations displayed.

**One equation is displayed in pink.****The other equation is displayed in purple.****Directions:****1) Move the pink points (of the pink line) so that this pink line becomes the graph of the pink equation displayed. (You'll get confirmation once you've done this correctly.)****2) Move the purple points (of the purple line) so that this purple line becomes the graph of the purple equation displayed. (You'll also get confirmation once you've done this correctly.)****3)****Enter the respective***x*- and*y-*coordinates of the solution to this system of equations. If you enter this correctly, the applet will confirm this.*Repeat this process as many times as you need in order to master this concept! Answer the question below once you have played with this applet several times.*## How can you verify your graphical solution algebraically? Explain.

## Now with algebra

Solve the system shown and enter your solution. Consider using elimination.