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Section 7 – 3 Solving Systems Using Elimination

Section 7 – 3 Solving Systems Using Elimination. Objectives: To solve systems by adding or subtracting To multiply first when solving systems. Elimination Method :. Add or subtract equations to eliminate a variable. REMEMBER: Opposites Cancel! - 5 + 5 = 0 5x + -5x = 0.

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Section 7 – 3 Solving Systems Using Elimination

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  1. Section 7 – 3Solving SystemsUsingElimination Objectives: To solve systems by adding or subtracting To multiply first when solving systems

  2. Elimination Method: Add or subtract equations to eliminate a variable. REMEMBER: Opposites Cancel! - 5 + 5 = 0 5x + -5x = 0

  3. Example 1 Adding/Subtracting Equations A) Solve using elimination. 5x – 6y = -32 3x + 6y = 48

  4. B) Solve using elimination. 6x – 3y = 3 -6x + 5y = 3

  5. C) Solve using elimination. 2x – 3y = 61 2x + y = - 7

  6. Homework Answers: 1) (6, -6) 2) (7, -1) 3) (10, -1) 4) (-1, -1) 5) (-1, 3)

  7. WARM UP Solve using elimination. 2x + 18y = - 9 4x + 18y = -27

  8. Section 7 – 3Continued Objectives: To multiply first when solving systems

  9. Example 2 Multiplying One Equation • Solve by the elimination method. 2x + 5y = - 22 10x + 3y = 22

  10. B) Solve by the elimination method. -2x + 15y = -32 7x – 5y = 17

  11. C) Solve by the elimination method. -6x + 5y = 4 3x +4y = 11

  12. D) Solve by the elimination method. 3x + 6y = -6 -5x – 2y = -14

  13. Section 7 – 3Continued(Day 3) Objectives: To multiply first when solving systems

  14. Example 3 Multiplying Both Equations • Solve by the elimination method. 4x + 2y = 14 7x – 3y = - 8

  15. B) Solve by the elimination method. 15x + 3y = 9 10x + 7y = - 4

  16. C) Solve by the elimination method. 3x+ 5y = 10 5x +7y = 10

  17. D) Solve by the elimination method. 7p + 5q = 2 8p – 9q = 17

  18. Example 4 Word Problems A) Your community center sells a total of 292 tickets for a basketball game. An adult ticket costs $3. A student ticket costs $1. The sponsors collect $470 in ticket sales. Write and solve a system to find the number of each type of ticket sold.

  19. B) The freshman class sells a total of 64 tickets to a play. A student ticket costs $1 and an adult ticket costs $2.50. Your class collects $109 in total ticket sales. How many adult tickets did you sell? How many student tickets did you sell?

  20. C) Suppose the Junior Class sells gift wrap for $4 per package and greeting cards for $10 per package. Your class sells 205 packages in all and receives a total of $1084. Find the number of packages of gift wrap and the number of packages of greeting cards sold.

  21. D) Suppose the band sells bags of popcorn for $5 per bag and bags of mixed nuts for $8 per bag. The band sells a total of 240 bags and receives a total of $1614. Find the number of bags of popcorn and the number of bags of mixed nuts sold.

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