8.2 Systems of Equations in Three Variables Day 1 Fri May 1 Do Now Solve the system.
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Transcript of 8.2 Systems of Equations in Three Variables Day 1 Fri May 1 Do Now Solve the system.
![Page 1: 8.2 Systems of Equations in Three Variables Day 1 Fri May 1 Do Now Solve the system.](https://reader035.fdocuments.in/reader035/viewer/2022072117/56649d8c5503460f94a73efc/html5/thumbnails/1.jpg)
8.2 Systems of Equations in Three VariablesDay 1 Fri May 1
Do NowSolve the system
![Page 2: 8.2 Systems of Equations in Three Variables Day 1 Fri May 1 Do Now Solve the system.](https://reader035.fdocuments.in/reader035/viewer/2022072117/56649d8c5503460f94a73efc/html5/thumbnails/2.jpg)
Linear Systems in Three Variables
• Since there are three variables, there will also be three equations.
• The goal here is to take 2 pairs of equations and eliminate the same variable, leaving you with a system of equations in 2 variables
![Page 3: 8.2 Systems of Equations in Three Variables Day 1 Fri May 1 Do Now Solve the system.](https://reader035.fdocuments.in/reader035/viewer/2022072117/56649d8c5503460f94a73efc/html5/thumbnails/3.jpg)
Ex
• Solve
![Page 4: 8.2 Systems of Equations in Three Variables Day 1 Fri May 1 Do Now Solve the system.](https://reader035.fdocuments.in/reader035/viewer/2022072117/56649d8c5503460f94a73efc/html5/thumbnails/4.jpg)
Ex
• Solve
![Page 5: 8.2 Systems of Equations in Three Variables Day 1 Fri May 1 Do Now Solve the system.](https://reader035.fdocuments.in/reader035/viewer/2022072117/56649d8c5503460f94a73efc/html5/thumbnails/5.jpg)
Ex
• Emma inherited $15,000 and invested part of it in a money market account, part in municipal bonds, and part in a mutual fund. After 1 year, she received a total of $730 interest from the three investments. The money market account paid 4% annually, the bonds paid 5% annually, and the mutual fund paid 6% annually. There was $2000 more invested in the mutual fund than in bonds. Find the amount that Emma invested in each category.
![Page 6: 8.2 Systems of Equations in Three Variables Day 1 Fri May 1 Do Now Solve the system.](https://reader035.fdocuments.in/reader035/viewer/2022072117/56649d8c5503460f94a73efc/html5/thumbnails/6.jpg)
Ex
• Make a quadratic function using the data (0, 133), (1,179), and (2,173)
![Page 7: 8.2 Systems of Equations in Three Variables Day 1 Fri May 1 Do Now Solve the system.](https://reader035.fdocuments.in/reader035/viewer/2022072117/56649d8c5503460f94a73efc/html5/thumbnails/7.jpg)
Closure
• Solve
• HW: p.699 #1-23 odds
![Page 8: 8.2 Systems of Equations in Three Variables Day 1 Fri May 1 Do Now Solve the system.](https://reader035.fdocuments.in/reader035/viewer/2022072117/56649d8c5503460f94a73efc/html5/thumbnails/8.jpg)
8.2 Systems of Equations in 3 VariablesDay 2 Mon May 4
• Solve
![Page 9: 8.2 Systems of Equations in Three Variables Day 1 Fri May 1 Do Now Solve the system.](https://reader035.fdocuments.in/reader035/viewer/2022072117/56649d8c5503460f94a73efc/html5/thumbnails/9.jpg)
HW Review: p.699 #1-23 odds
![Page 10: 8.2 Systems of Equations in Three Variables Day 1 Fri May 1 Do Now Solve the system.](https://reader035.fdocuments.in/reader035/viewer/2022072117/56649d8c5503460f94a73efc/html5/thumbnails/10.jpg)
Practice
• System of Equations worksheet
• Quiz Wed
![Page 11: 8.2 Systems of Equations in Three Variables Day 1 Fri May 1 Do Now Solve the system.](https://reader035.fdocuments.in/reader035/viewer/2022072117/56649d8c5503460f94a73efc/html5/thumbnails/11.jpg)
Closure
• What is different about solving systems with 3 variables vs systems with 2 variables?
• HW: System of Equations worksheet; Quiz Wed