Algebra 1

Lesson 8.3

Linear Combination

What things cancel

each other out?

Whadda ya know 'bout...

Real-life example:What is the volume of this apple in fluid ounces?

Real-life example:

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

x - 3y = -1

Linear Combination- My turn:

2x + 3y = 16add/sub.

Goal: eliminate a variable! through addition or subtraction

Turn a variable into ZERO

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

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

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

x + y = 9Our turn:

x - 3y = 5 add/sub.

10x - 2y = 24Your turn:

6x + 2y = 8add/sub.

Your

2x + 3y = 13Your turn:

5x + 3y = 1add/sub.

Your

http://www.youtube.com/watch?v=1qHTmxlaZWQ

All I Do Is Solve- Math Rap

linear combination WITH multiplication