Algebra 1 Lesson 8.3 Linear Combination
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