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Algebra 6.3

Algebra 6.3. Solving Systems by Elimination. Learning Targets. Language Goal Students will be able to compare and choose an appropriate method for solving systems of linear equations . Math Goal Students will be able to solve systems of linear equations in two variables by elimination .

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Algebra 6.3

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  1. Algebra 6.3 Solving Systems by Elimination

  2. Learning Targets Language Goal Students will be able to compare and choose an appropriate method for solving systems of linear equations. Math Goal Students will be able to solve systems of linear equations in two variables by elimination. Essential Questions How do we choose the appropriate method for solving system of equations?

  3. Warm-up

  4. Homework Check Take out your Riddle WS The Answer is… He is hoping for whirled peas. If you did not get this answer we can look at the problems that do not match up!

  5. Steps to Solving a Linear System by Elimination • Steps to solving a linear system by linear combinations: 1. Arrange the equations with like terms in columns. 2. Multiply one or both of the equations by a number to obtain coefficients that are opposites for one of the variables. 3. Add the equations from step 2, combine like terms, and solve for the remaining variable. 4. Substitute the value obtained in step 3 into either original equations and solve for the other variable. 5. Check the solution in both original equations.

  6. Example 1: Elimination Using Addition

  7. Example 1: Elimination Using Addition

  8. Example 1: Elimination Using Addition

  9. Example 2: Elimination Using Subtraction

  10. Example 2: Elimination Using Subtraction

  11. Example 2: Elimination Using Subtraction

  12. Example 3: Elimination Using Multiplication First

  13. Example 3: Elimination Using Multiplication First

  14. Example 3: Elimination Using Multiplication First

  15. Example 3: Elimination Using Multiplication First

  16. Example 3: Elimination Using Multiplication First

  17. Example 3: Elimination Using Multiplication First

  18. Example 4: Word Problems A. Sam spent $24.75 to buy 12 flowers for his mother. The bouquet contained roses and daisies. How many of each type of flower did same buy? Roses are $2.50 each and daisies are $1.75 each.

  19. Example 4: Word Problems B. Sally spent $14.85 to buy 13 flowers. She bought lilies, which cost $1.25 each, and tulips, which coast $0.90 each. How many of each flower did Sally buy?

  20. 6.1 – 6.3 Review

  21. If time… Pass out whiteboards and do more practice problems.

  22. Lesson Quiz

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