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Warm-up 

The solution is (3, -1). Warm-up . Describe and correct the error in solving the linear system below. x– 3y = 6 2x – 3y = 3. Homework Answers. 7. (2,1) 9. (4, -1) 11. (3, -2) 13. (6, -3) 15. (3, 8) 17. (4, -4) 19. 4 pairs of sticks and 2 pairs of brushes. Solving System of Equations.

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Warm-up 

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  1. The solution is (3, -1). Warm-up  Describe and correct the error in solving the linear system below. x– 3y = 6 2x – 3y = 3

  2. Homework Answers 7. (2,1) 9. (4, -1) 11. (3, -2) 13. (6, -3) 15. (3, 8) 17. (4, -4) 19. 4 pairs of sticks and 2 pairs of brushes

  3. Solving System of Equations “Elimination” Unit 3

  4. Steps for Elimination • Add or Subtract the equations to eliminate one variable. • Solve the resulting equation for the variable. • Substitute into either equation to find the other variable.

  5. Practice Problem Worked Out Step 1: Step 2: Step 3: Answer: (1, 3)

  6. Ex 1) Solve by elimination 4x + 3y = 2 5x + 3y = -2

  7. Ex 2) Solve by elimination Arrange like terms 8x -4y = -4 4y = 3x + 14

  8. Ex 3) Solve by elimination 11y – 3x = 18 -3x = -16y + 33

  9. LCM – least common multiple!!! Ex 4) Solve by elimination 6x + 5y = 19 2x + 3y = 5

  10. Ex 5) Solve by elimination 2x + y = -9 4x + 11y = 9

  11. Ex 6) Solve by elimination 4x + 5y = 35 2y = 3x - 9

  12. Ex 7) Solve by elimination -2x + y = -3 -4x + 2y = 2 What do TRUE and FALSE statements mean?

  13. Wrap Up with a Partner Solve the word problem using Elimination. At an ice cream shop, one customer pays $9 for 2 sundaes and 2 milkshakes. A second customer pays #13 for 2 sundaes and 4 milkshakes. How much does each cost? $2.50 $2.00

  14. Wrap up…with a partner • The three lines given below form a triangle. Find the coordinates of the vertices of the triangle. Check by drawing the graph. Line 1: -3x + 2y = 1 Line 2: 2x + y = 11 Line 3: x + 4y = 9 Homework: Red Workbook Page 109 & 110 (10-18)

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