3.1 – Graphically Solving Linear Systems (continued)
Solve the following system: y = 5x + 1 y = 6x+10 Review
What is different about the following system with the one we just did? 4x – 3y = -15 x + 2y = -1 • What would you do so you can solve it using your calculator? • Solve it!
2x + 4y = 12 x + 2y = 9 • x – y = 5 2x – 2y = 10 Try solving these. Do you notice anything different with your results?
Draw a picture of a graph that would have only 1 solution. Draw a picture of a graph that would have infinitely many solutions. Draw a picture of a graph that would have no solution.
A shuttle leaves the station at 8:00 AM traveling to pick up people at a stop 35 miles away. It is traveling 40 miles per hour. Another shuttle leaves the station at 8:05 AM and travels to the same stop traveling 48 miles per hour. • Write a system of equations to represent distance as a function of time for each bus. • When will the second shuttle catch up with the first? Show your answer graphically and check algebraically.