Systems of Equations – Lesson 1

Want to Rent a Movie? You and your friend each purchased identical subscriptions to an online video rental site. When you joined, you each paid the one-time membership processing fee. You also paid a flat rate for each movie that you downloaded. By the end of the first month, you had downloaded 8 movies and paid $16.50, while your friend had downloaded only 6 movies and paid $14.00. What was the one-time membership processing fee? What was the per-movie rental fee?

Introduction A system of linear equations consists two or more linear equations. A solution of a system of linear equations is an ordered pair that is a solution to each equation in the system. Tip: Add your own speaker notes here.

Solving Systems - Elimination Write each equation in standard form Multiply one or both equations by the appropriate constant(s). Add the two equations together. Solve the resulting equation. Substitute this value for the appropriate variable in either of the original equations, and solve for that variable. Write the solution as an ordered pair. Check your solution.

Example #1: Solve: Tip: Add your own speaker notes here.

Example #2: Solve:

Practice Solve: 1) 2)

Types of Solutions One solution: x = # & y = # No solution: False Statement Example: 8 = 0 Many solutions: True Statement Example: 9 = 9 Tip: Add your own speaker notes here.

Matching activity: Match each type of solution with each solution.

Checking your Match NO SOLUTION ONE SOLUTION MANY SOLUTIONS

Manipulate Equations Reorder the following system to use elimination to solve the system. Then solve the system. Tip: Add your own speaker notes here.

Checking Your Understanding Solve.

Homework Assignment Complete Pages Show all your work.

Exit Ticket What is the first step to solve this system of equations? How can you tell if there is no solution to the system?