1. The two lines ╥3x + 5y = 7╙ and ╥3.01x + 5y = 10╙ are almost parallel, but not quite. Their graphs must intersect at a point very far away from the origin. Solve the system consisting of these two equations by addition. What is the ╥big╙ solution?
2. Describe in your own words what happens when you try to solve an inconsistent system of linear equations by addition.
3. Describe in your own words what happens when you try to solve a dependent system of linear equations by addition.
4. In the linear system ╥6x + 3y = 14╙ and ╥9x + 3y = -5╙ is it best to add the two equations or subtract them? Why?
5. Write a linear system that you know will be consistent. Write one that you know will be inconsistent. Write one that you know will be dependent.
