Alg1 8.3 Linear Combination
-
Upload
jaqueline-vallejo -
Category
Technology
-
view
586 -
download
2
description
Transcript of Alg1 8.3 Linear Combination
![Page 1: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/1.jpg)
Algebra 1
Lesson 8.3
Linear Combination
![Page 2: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/2.jpg)
What things cancel
each other out?
Whadda ya know 'bout...
![Page 3: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/3.jpg)
![Page 4: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/4.jpg)
Real-life example:What is the volume of this apple in fluid ounces?
![Page 5: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/5.jpg)
Real-life example:
![Page 6: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/6.jpg)
Do the following systems meet the criteria?
2x + 5y = -6
2x + 3y = 14
9x - 2y = 12
3x + 6y = 4
6x + y = 2
3x - y = 7
x + y = 16
2x + 2y = 8
x + y = -8
x - y = 10
5x - 8x = 22
5x + 8x = -19
![Page 7: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/7.jpg)
x - 3y = -1
Linear Combination- My turn:
2x + 3y = 16add/sub.
![Page 8: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/8.jpg)
Goal: eliminate a variable! through addition or subtraction
Turn a variable into ZERO
![Page 9: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/9.jpg)
solving a system of linear equations by eliminating a variable by adding or subtracting the equations.
aka addition-and-subtraction method
aka elimination method
What is linear combination? linear
![Page 10: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/10.jpg)
![Page 11: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/11.jpg)
Do the following systems meet the criteria?
2x + 5y = -6
2x + 3y = 14
9x - 2y = 12
3x + 6y = 4
6x + y = 2
3x - y = 7
x + y = 16
2x + 2y = 8
x + y = -8
x - y = 10
5x - 8x = 22
5x + 8x = -19
![Page 12: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/12.jpg)
Do the following systems meet the criteria?
2x + 5y = -6
2x + 3y = 14
9x - 2y = 12
3x + 6y = 4
6x + y = 2
3x - y = 7
x + y = 16
2x + 2y = 8
x + y = -8
x - y = 10
5x - 8x = 22
5x + 8x = -19
![Page 13: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/13.jpg)
x + y = 9Our turn:
x - 3y = 5 add/sub.
![Page 14: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/14.jpg)
10x - 2y = 24Your turn:
6x + 2y = 8add/sub.
Your
![Page 15: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/15.jpg)
2x + 3y = 13Your turn:
5x + 3y = 1add/sub.
Your
![Page 16: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/16.jpg)
http://www.youtube.com/watch?v=1qHTmxlaZWQ
All I Do Is Solve- Math Rap
![Page 17: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/17.jpg)
![Page 18: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/18.jpg)
![Page 19: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/19.jpg)
linear combination WITH multiplication
![Page 20: Alg1 8.3 Linear Combination](https://reader033.fdocuments.us/reader033/viewer/2022051323/549248bdac7959042e8b4599/html5/thumbnails/20.jpg)