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Mastering Algebra: Solve Linear Equations with Elimination Method

Learn how to solve systems of linear equations algebraically using the elimination method. Explore notes, examples, partner activities, and Desmos simulations to enhance your understanding. Practice with Tic-Tac-Toe and solo exercises for a comprehensive grasp of the concept. Get ready to tackle real-world problems confidently!

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Mastering Algebra: Solve Linear Equations with Elimination Method

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  1. Algebra 09.28.18 Bellringer on Goformative! Objective:I can solve a system of linear equations algebraically, using elimination.

  2. Learning Target I CAN solve a system of equations algebraically by ELIMINATION. http://mathforum.org/library/drmath/view/70225.html

  3. Agenda: Notes/Examples of Elimination (my fav!) Partner Tic-Tac-Toe Desmos Systems Activity with Health Club https://teacher.desmos.com/activitybuilder/custom/561d6a790784861e06c3a6dc

  4. How to do elimination? Looks crazy but it works. I will tell you why it works later.

  5. 2 2 y = 3

  6. 2 2 y = 3 -3 -3 x = 1

  7. Ex 1: Elimination Method x – y = 11 2x + y = 19

  8. WHY?

  9. We can +, -, * or / as long as we do the same to both sides a=b c=d could add “c” to the first equation: a+c=b+c

  10. We can +, -, * or / as long as we do the same to both sides a=b c=d And since c=d, I could add c to one side and d to other a+c=b+d

  11. Ex 2: Elimination Method 4x + 8y = 20 -4x + 2y = -30

  12. Ex 3: Elimination Method 7x + 2y = 24 8x + 2y = 30

  13. Ex 4: Elimination Method 5x + y = 9 10x - 7y = -18

  14. Tic-Tac-Toe You and your partner each need a piece of paper to show your work. One person is “X” the other is “O.” Take turns choosing and solving a problem. While one solves, the other checks on MATHWAY.COM. Find the solution on the board and mark your letter. The first to get 4 in a row, diagonal, or column wins.

  15. Solo Practice p. 509 #7 & 9 p. 522 #5, 6, 7

  16. Exit Ticket Solve the system by elimination: A no solution B y =0 C x = 4.5 D x=-12

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