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Untitled1.notebook 1 September 20, 2013 Oct 37:15 AM Solving Systems by Elimination U2S4: I can solve systems of equations algebraically. To solve by elimination: 1. vertically align all the variables 2. transform so that one variable has opposite coefficients 3. add (eliminating a variable) 4. substitute the value and solve to find the other value Oct 37:15 AM Example solve by elimination 4a + 2b = 15 2a + 2b = 7

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Page 1: Solving Systems by Elimination 2. transform so that one ... · Solving Systems by Elimination U2S4: I can solve systems of equations algebraically. To solve by elimination: 1. vertically

Untitled1.notebook

1

September 20, 2013

Oct 3­7:15 AM

Solving Systems by Elimination

U2S4:  I can solve systems of equations algebraically.

To solve by elimination:

1.  vertically align all the variables2.  transform so that one variable has opposite coefficients3.  add (eliminating a variable)4.  substitute the value and solve to find the other value

Oct 3­7:15 AM

Example  solve by elimination

4a + 2b = 152a + 2b = 7

Page 2: Solving Systems by Elimination 2. transform so that one ... · Solving Systems by Elimination U2S4: I can solve systems of equations algebraically. To solve by elimination: 1. vertically

Untitled1.notebook

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September 20, 2013

Oct 3­7:15 AM

Example  solve by elimination

3x ­ 7y = ­145x + 2y = 45

Oct 3­7:15 AM

Example  solve by elimination

2y = x2x ­ 8y = ­1

Page 3: Solving Systems by Elimination 2. transform so that one ... · Solving Systems by Elimination U2S4: I can solve systems of equations algebraically. To solve by elimination: 1. vertically

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September 20, 2013

Oct 3­7:15 AM

Example  solve by elimination

3y ­ x = ­2y ­ 1/3 x = 2

Oct 3­7:15 AM

Example  solve by elimination

3x + y = 36x + 2y = 6

Page 4: Solving Systems by Elimination 2. transform so that one ... · Solving Systems by Elimination U2S4: I can solve systems of equations algebraically. To solve by elimination: 1. vertically

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September 20, 2013

Sep 20­2:11 PM

Oct 3­7:15 AM

Assignment:  Unit 2, Lesson 7U2S4:  I can solve systems of equations graphically and algebraically.

Directions:  Show your work on your own paper.

Solve by graphing.

1. 2.

3. 4.

5. 6.

8.7.

9.

10.

a.

b.

c.

11.

12.

Page 5: Solving Systems by Elimination 2. transform so that one ... · Solving Systems by Elimination U2S4: I can solve systems of equations algebraically. To solve by elimination: 1. vertically

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September 20, 2013

Sep 6­8:45 AM

Sep 6­8:46 AM

Page 6: Solving Systems by Elimination 2. transform so that one ... · Solving Systems by Elimination U2S4: I can solve systems of equations algebraically. To solve by elimination: 1. vertically

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September 20, 2013

Sep 6­8:49 AM

Sep 6­8:50 AM

Page 7: Solving Systems by Elimination 2. transform so that one ... · Solving Systems by Elimination U2S4: I can solve systems of equations algebraically. To solve by elimination: 1. vertically

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September 20, 2013

Aug 25­11:59 AM