Systems with Three Variables

1. Systems with Three Variables Objective: I can solve systems with three or more variables.

2. How much does each box weigh? Explain your reasoning.

3. Solve the system.

4. Solve the system.

5. You manage a clothing store and budget $6000 to restock 200 shirts. You can buy T-shirts for $12 each, polo shirts $24 each and rugby shirts for $36 each. You want to have twice as many rugby shirts as polo shirts. How many of each type shirt should you buy? Pg. 171 #9-11, 30

6. Systems with Three Variables Objective: I can use matrices to solve systems.

7. Use the rules below to change figure 1 into figure 2? • Matrix: • A rectangular array of numbers. • Dimensions: rows × columns Matrix Name

8. matrix matrix Systems to matrices Reduced Row Echelon form (rref) -4 × Row 2 + Row 1 Put in Row 1 Divide Row 2 by -3 Put in Row 2 -2 × Row 1 + Row 2 Put in Row 2

9. Systems to matrices rref matrix rref matrix Reduced Row-Echelon Form [2nd], [x-1], [►], [alpha], [apps] or [2nd], [x-1], [►], [▼] to rref( , [enter] [2nd], [ x-1], [enter], [enter] [2nd],[x-1],[►] ,[►], [enter] enter rows [enter] enter columns [enter] enter matrix; [2nd], [mode]

10. Solve each system using matrices Solution:( , ) Solution: ( , , )

11. Solve each system using matrices Solution:( -1.5, -0.5) Solution: ( -2 , 3, 5) Pg. 179#15-20,24-27, 32,33,36,37