Upcoming SlideShare
×

# Alg1 8.3 Linear Combination

1,224 views

Published on

1 Like
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

Views
Total views
1,224
On SlideShare
0
From Embeds
0
Number of Embeds
460
Actions
Shares
0
40
0
Likes
1
Embeds 0
No embeds

No notes for slide

### Alg1 8.3 Linear Combination

1. 1. Algebra 1 Lesson 8.3 Linear Combination
2. 2. Whadda ya know 'bout... What things cancel each other out?
3. 3. Real-life example: What is the volume of this apple in fluid ounces?
4. 4. Real-life example:
5. 5. Do the following systems meet the criteria? 2x + 5y = -6 9x - 2y = 12 2x + 3y = 14 3x + 6y = 4 6x + y = 2 x + y = 16 3x - y = 7 2x + 2y = 8 x + y = -8 5x - 8x = 22 x - y = 10 5x + 8x = -19
6. 6. Linear Combination- My turn: x - 3y = -1 2x + 3y = 16 add/sub.
7. 7. Goal: eliminate a variable! through addition or subtraction Turn a variable into ZERO
8. 8. What is linear combination? linear solving a system of linear equations by eliminating a variable by adding or subtracting the equations. aka addition-and-subtraction method aka elimination method
9. 9. Do the following systems meet the criteria? 2x + 5y = -6 9x - 2y = 12 2x + 3y = 14 3x + 6y = 4 6x + y = 2 x + y = 16 3x - y = 7 2x + 2y = 8 x + y = -8 5x - 8x = 22 x - y = 10 5x + 8x = -19
10. 10. Do the following systems meet the criteria? 2x + 5y = -6 9x - 2y = 12 2x + 3y = 14 3x + 6y = 4 6x + y = 2 x + y = 16 3x - y = 7 2x + 2y = 8 x + y = -8 5x - 8x = 22 x - y = 10 5x + 8x = -19
11. 11. Our turn: x+y=9 x - 3y = 5 add/sub.