Exploring Linear Systems
- 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.