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6.2 Solving Systems by Substitution

6.2 Solving Systems by Substitution

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6.2 Solving Systems by Substitution

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  1. 6.2 Solving Systems by Substitution Objectives: Solve systems of linear equations in two variables by substitution.

  2. Example 1: Solve for x when – A. B. C. D.

  3. Why is graphing not always the most useful way to solve a system of equations? • We don’t always land on whole numbers! • Remember – when solving a system of linear equations we are looking for an ordered pair that makes both equations true. • We will use substitution when: • Both equations are solved for 1 variable. • 1 equation is solved for a variable, and one is in standard form.

  4. Example 2: Solve each system by substitution. A. B.

  5. Example 2: continued... C. D.

  6. Homework • Page 347: 1, 2, 8-11

  7. Example 3: Josie is deciding between two cell phone plans. The first plan has a $50 sign-up fee and costs $20 a month. The second plan has a $30 sign-up fee and costs $25 a month. • After how many months will the total cost be the same? • What will the cost be? • If Josie has to sign up for a one year contract, which plan would be cheaper?

  8. Trivia 1. Which TV show has the judges: Mariah Carey, Nicki Minaj, Randy Jackson, & Keith Urban? American Idol 2. Which Disney movie has the characters: Prince Eric, Sebastian, Flounder, Ursula, and King Triton? Little Mermaid

  9. If both equations are in standard form: You must solve one of them for a variable and then substitute.

  10. Example 4: Solve each system by substitution. A. B.

  11. Example 4: Solve each system by substitution. C. D.

  12. Practice: • Practice 6.2 WS

  13. Homework • Page 347: 8-23 odd