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

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Presentation transcript:

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

How much does each box weigh? Explain your reasoning.

Solve the system.

Pg. 171 #9-11, 30 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?

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

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

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

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

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

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