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Oct. 19 - Substitution Method

Algebra 1<br>middle and high school math

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Oct. 19 - Substitution Method

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  1. youth confidence day! 10.19.22 Pick up a warm-up. Complete. Agenda: • Warm-up • Notes: Substitution • Practice Would you rather be the smartest person in the world or the fastest person in the world? Calculator, Pencil, Spiral

  2. Linear Systems

  3. Warm-Up Name: Date: Period: Determine the value of each item. Explain in words how you figured out the values. = = = = = = What are the equations? ____________________ _____________________ What are the equations? ____________________ _____________________ What are the equations? ____________________ _____________________

  4. Warm-Up Name: Date: Period: Determine the value of each item. Explain in words how you figured out the values. 13 20 14 11 10 5/3

  5. Can you write an equation for each of the following using x and y as the variables?

  6. Can you write an equation for each of the following using x and y as the variables?

  7. What if we want to solve a system of equations, but the numbers are very large or not easily seen on a graph?

  8. What if we want to solve a system of equations, but the numbers are very large or not easily seen on a graph? We have other methods for solving a system!!

  9. Substitution

  10. Substitution Type 1

  11. Example 1: Solve the system. y = 3x + 42 y = -4x - 14 Method 2: Substitution

  12. Example 1: Solve the system. y = 3x + 42 y = -4x - 14 Since both equations are equal to y, they can be set equal to each other. Solve for one variable. Method 2: Substitution

  13. Example 1: Solve the system. y = 3x + 42 y = -4x - 14 Next choose one equation and fill in the value you just found. Method 2: Substitution

  14. Example 1: Solve the system. y = 3x + 42 y = -4x - 14 Next choose one equation and fill in the value you just found. Method 2: Substitution

  15. Example 2: Solve the system. y = 2x + 15 y = -3x - 24 Method 2: Substitution

  16. Example 2: Solve the system. y = 2x + 15 y = -3x - 24 Since both equations are equal to y, they can be set equal to each other. Solve for one variable. Method 2: Substitution

  17. Example 2: Solve the system. y = 2x + 15 y = -3x - 24 Next choose one equation and fill in the value you just found. Method 2: Substitution

  18. Example 2: Solve the system. y = 2x + 15 y = -3x - 24 Next choose one equation and fill in the value you just found. Method 2: Substitution

  19. Example 3: Solve the system. y = -4x - 1/4 y = 5x - 5/2 Method 2: Substitution

  20. Example 3: Solve the system. Since both equations are equal to y, they can be set equal to each other. Solve for one variable. y = -4x - 1/4 y = 5x - 5/2 Method 2: Substitution

  21. Example 3: Solve the system. y = -4x - 1/4 y = 5x - 5/2 Next choose one equation and fill in the value you just found. Method 2: Substitution

  22. Example 3: Solve the system. y = -4x - 1/4 y = 5x - 5/2 Next choose one equation and fill in the value you just found. Method 2: Substitution

  23. Substitution Type 2

  24. Example 1: Solve the system. 3x + 2y = 1 x = 5y + 6 Method 2: Substitution

  25. Method 2: Substitution

  26. Example 2: Solve the system. y = 7x -4x + 2y = -30 Method 2: Substitution

  27. Method 2: Substitution

  28. Example 3: Solve the system. 2x + y = 44 -3x + 5y = 12 Method 2: Substitution

  29. Example 3: Solve the system. 2x + y = 44 -3x + 5y = 12 Method 2: Substitution

  30. Example 4: Solve the system. 9x + 6y = 47 2x - 12y = 6 Method 2: Substitution

  31. 9x + 6y = 47 2x - 12y = 6 Method 2: Substitution

  32. Click here to watch a video that shows how we did the first three examples. Systems of Equations - Substitution

  33. Click here to watch a video on the last few examples. Systems of Equations - Substitution

  34. Delta Math Time

  35. WhyU (Rabbit and Hare) (6.09) Solving Systems of Equations by Substitution by Shmoop(2.45) • KAHOOT: SOLVING SYSTEMS OF EQUATIONS- SUBSTITUTION • QUIZIZZ- SOLVING SYSTEMS BY SUBSTITUTION Videos of Substitution

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