Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y =...
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Transcript of Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y =...
![Page 1: Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y = 7 Use elimination to solve the system of equations. 2x.](https://reader036.fdocuments.net/reader036/viewer/2022081502/56649ce25503460f949adc43/html5/thumbnails/1.jpg)
Name:__________ warm-up 6-4 Use elimination to solve the system of equations.5x + y = 93x – y = 7
Use elimination to solve the system of equations.2x + 4y = –82x + y = 1
![Page 2: Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y = 7 Use elimination to solve the system of equations. 2x.](https://reader036.fdocuments.net/reader036/viewer/2022081502/56649ce25503460f949adc43/html5/thumbnails/2.jpg)
Use elimination to solve the system of equations.x – 3y = 26x + 3y = –2
Find two numbers that have a sum of 151 and a difference of 7.
![Page 3: Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y = 7 Use elimination to solve the system of equations. 2x.](https://reader036.fdocuments.net/reader036/viewer/2022081502/56649ce25503460f949adc43/html5/thumbnails/3.jpg)
The student council sold pennants and pom-poms. The pom-poms cost $0.75 more than the pennants. Two pennants and two pom-poms cost $6.50. What are the prices for the pennants and the pom-poms?
Solve the system of equations below by using the elimination method.x – 3y = 154x + 3y = 15
![Page 4: Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y = 7 Use elimination to solve the system of equations. 2x.](https://reader036.fdocuments.net/reader036/viewer/2022081502/56649ce25503460f949adc43/html5/thumbnails/4.jpg)
How can you find the solution to a math problem?
![Page 5: Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y = 7 Use elimination to solve the system of equations. 2x.](https://reader036.fdocuments.net/reader036/viewer/2022081502/56649ce25503460f949adc43/html5/thumbnails/5.jpg)
Details of the DayEQ
How can you find the solution to a math problem?
I will be able to…
Activities:Warm-upCollect projectNotes: Solving Systems of Equations by Elimination using MultiplicationClass work/ HW – pair and share
Vocabulary:• Elimination
• Solve systems of equations by using elimination with Multiplication.
• Solve real-world problems involving systems of equations.
• system of equations
• consistent
• independent
• dependent
• inconsistent
![Page 6: Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y = 7 Use elimination to solve the system of equations. 2x.](https://reader036.fdocuments.net/reader036/viewer/2022081502/56649ce25503460f949adc43/html5/thumbnails/6.jpg)
6-4 Solving Systems of Equation by Elimination Using Multiplication
![Page 7: Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y = 7 Use elimination to solve the system of equations. 2x.](https://reader036.fdocuments.net/reader036/viewer/2022081502/56649ce25503460f949adc43/html5/thumbnails/7.jpg)
A Quick Review Use elimination to solve the system of equations.5x + y = 93x – y = 7
Use elimination to solve the system of equations.2x + 4y = –82x + y = 1
![Page 8: Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y = 7 Use elimination to solve the system of equations. 2x.](https://reader036.fdocuments.net/reader036/viewer/2022081502/56649ce25503460f949adc43/html5/thumbnails/8.jpg)
A Quick Review Find two numbers that have a sum of 151 and a difference of 7.
Use elimination to solve the system of equations.x – 3y = 26x + 3y = –2
![Page 9: Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y = 7 Use elimination to solve the system of equations. 2x.](https://reader036.fdocuments.net/reader036/viewer/2022081502/56649ce25503460f949adc43/html5/thumbnails/9.jpg)
A Quick Review The student council sold pennants and pom-poms. The pom-poms cost $0.75 more than the pennants. Two pennants and two pom-poms cost $6.50. What are the prices for the pennants and the pom-poms?
Solve the system of equations below by using the elimination method.x – 3y = 154x + 3y = 15
![Page 10: Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y = 7 Use elimination to solve the system of equations. 2x.](https://reader036.fdocuments.net/reader036/viewer/2022081502/56649ce25503460f949adc43/html5/thumbnails/10.jpg)
Notes and examples
Use elimination to solve the system of equations.2x + y = 233x + 2y = 37
![Page 11: Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y = 7 Use elimination to solve the system of equations. 2x.](https://reader036.fdocuments.net/reader036/viewer/2022081502/56649ce25503460f949adc43/html5/thumbnails/11.jpg)
Notes and examplesUse elimination to solve the system of equations.x + 7y = 123x – 5y = 10
Use elimination to solve the system of equations.4x + 3y = 83x – 5y = –23
![Page 12: Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y = 7 Use elimination to solve the system of equations. 2x.](https://reader036.fdocuments.net/reader036/viewer/2022081502/56649ce25503460f949adc43/html5/thumbnails/12.jpg)
Notes and examplesUse elimination to solve the system of equations.3x + 2y = 102x + 5y = 3
TRANSPORTATION A fishing boat travels 10 miles downstream in 30 minutes. The return trip takes the boat 40 minutes. Find the rate in miles per hour of the boat in still water.
![Page 13: Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y = 7 Use elimination to solve the system of equations. 2x.](https://reader036.fdocuments.net/reader036/viewer/2022081502/56649ce25503460f949adc43/html5/thumbnails/13.jpg)
Real World ExamplesTRANSPORTATION A helicopter travels 360 miles with the wind in 3 hours. The return trip against the wind takes the helicopter 4 hours. Find the rate of the helicopter in still air.
![Page 14: Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y = 7 Use elimination to solve the system of equations. 2x.](https://reader036.fdocuments.net/reader036/viewer/2022081502/56649ce25503460f949adc43/html5/thumbnails/14.jpg)
Notes and examples