1. Solving Systems of Equations Review

8. Systems of Equations Applications

9. Steps to creating an equation from context: 1. Read the problem statement 2. Identify the known quantities 3. Identify the unknown variables 4. Create an equation using the known quantities and the variables you found. Keep in mind…  In systems of equations, you will have 2 or 3 equations (hence the “system” part). Therefore, you will have to decide which quantities and variables belong together.

10. Example The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5,050 is collected. How many children and how many adults attended?

11. Example 2 Two small pitchers and one large pitcher can hold 8 cups of water. One large pitcher minus one small pitcher constitutes 2 cups of water. How many cups of water can each pitcher hold?

12. Example 3 A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

13. Using Inverse Matrices Solving Systems

14. You can use the inverse of the coefficient matrix to find the solution. 3x + 2y = 7 4x - 5y = 11 Solve the system using inverse matrices The formula to find the solution is: Set up a matrix equation to find the solution.

15. 2x - 4y = 9 Solve the system using inverse matrices The formula to find the solution is: Set up a matrix equation to find the solution. 3x - 2y = 1

16. x + 4y = 8 Solve the system using inverse matrices The formula to find the solution is: Set up a matrix equation to find the solution. 2x - 2y = -6

17. Solve the system using inverse matrices Set up a matrix equation to find the solution. The formula to find the solution is:

18. Practice: Page 45 #1-10 worksheet