Alg1 8.3 Linear Combination
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Alg1 8.3 Linear Combination

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Alg1 8.3 Linear Combination Presentation Transcript

  • 1. Algebra 1 Lesson 8.3 Linear Combination
  • 2. Whadda ya know 'bout... What things cancel each other out?
  • 3. Real-life example: What is the volume of this apple in fluid ounces?
  • 4. Real-life example:
  • 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. Linear Combination- My turn: x - 3y = -1 2x + 3y = 16 add/sub.
  • 7. Goal: eliminate a variable! through addition or subtraction Turn a variable into ZERO
  • 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. 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. 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. Our turn: x+y=9 x - 3y = 5 add/sub.
  • 12. Your turn: 10x - 2y = 24 6x + 2y = 8 Your add/sub.
  • 13. Your turn: 2x + 3y = 13 5x + 3y = 1 Your add/sub.
  • 14. http://www.youtube.com/watch?v=1qHTmxlaZWQ All I Do Is Solve- Math Rap
  • 15. linear combination WITH multiplication