Graphing Systems of Equations...Unit 6 Day 2 Graphing Systems of Equations.notebook 3 December 06,...

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Unit 6 Day 2 Graphing Systems of Equations.notebook 1 December 06, 2019 Dec 54:50 PM Foundations in Algebra Mrs. Hall December 6, 2019 Get out your materials for class. Dec 54:59 PM Graphing Systems of Equations EQ: How can you solve systems of equations by graphing? Day 2

Transcript of Graphing Systems of Equations...Unit 6 Day 2 Graphing Systems of Equations.notebook 3 December 06,...

Page 1: Graphing Systems of Equations...Unit 6 Day 2 Graphing Systems of Equations.notebook 3 December 06, 2019 Classifying Systems of Equations ... Notes,Whiteboard,Whiteboard Page,Notebook

Unit 6 Day 2 Graphing Systems of Equations.notebook

1

December 06, 2019

Dec 5­4:50 PM

Foundations in Algebra

Mrs. Hall

December 6, 2019

Get out your materials for class.

Dec 5­4:59 PM

Graphing Systems of Equations

EQ: How can you solve systems of equations by graphing?

Day 2

Page 2: Graphing Systems of Equations...Unit 6 Day 2 Graphing Systems of Equations.notebook 3 December 06, 2019 Classifying Systems of Equations ... Notes,Whiteboard,Whiteboard Page,Notebook

Unit 6 Day 2 Graphing Systems of Equations.notebook

2

December 06, 2019

Systems of Equations

Review from yesterday

The solution to a system is the point where the equations intersect.

6x ­ 9y = 15

x ­ y = 4

Is (9, 5) a solution?

Is (7, 3) a solution?

Page 3: Graphing Systems of Equations...Unit 6 Day 2 Graphing Systems of Equations.notebook 3 December 06, 2019 Classifying Systems of Equations ... Notes,Whiteboard,Whiteboard Page,Notebook

Unit 6 Day 2 Graphing Systems of Equations.notebook

3

December 06, 2019

Classifying Systems of Equations

Consistent Inconsistenthas at least one solution no solution

Independent Dependenthas exactly one solution

has infinite solutions

Consistent Independent

Inconsistent ConsistentDependent

Page 4: Graphing Systems of Equations...Unit 6 Day 2 Graphing Systems of Equations.notebook 3 December 06, 2019 Classifying Systems of Equations ... Notes,Whiteboard,Whiteboard Page,Notebook

Unit 6 Day 2 Graphing Systems of Equations.notebook

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December 06, 2019

Solve by Graphing

y = 3x ­ 2

x + 3y = 4Steps:

1. Write both equations in slope­intercept form           (y = mx + b)

2. Graph both equations. Put y­intercept on first then count rise over run.

3. Write the ordered pair where the two lines intersect.

4. Classify what type.

Solve by Graphing

y = 3x ­ 2

x + 3y = 4

Page 5: Graphing Systems of Equations...Unit 6 Day 2 Graphing Systems of Equations.notebook 3 December 06, 2019 Classifying Systems of Equations ... Notes,Whiteboard,Whiteboard Page,Notebook

Unit 6 Day 2 Graphing Systems of Equations.notebook

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December 06, 2019

Solve by Graphing

x + 4y = 20

6x ­ 4y = 8

Solve by Graphing

4x ­ 3y = 9

8x ­ 6y = ­12

Page 6: Graphing Systems of Equations...Unit 6 Day 2 Graphing Systems of Equations.notebook 3 December 06, 2019 Classifying Systems of Equations ... Notes,Whiteboard,Whiteboard Page,Notebook

Unit 6 Day 2 Graphing Systems of Equations.notebook

6

December 06, 2019

Solve by Graphing

y = 2

4x ­ 2y = 8

Solve by Graphing

2x ­ y = ­3

2x + y = ­1

Page 7: Graphing Systems of Equations...Unit 6 Day 2 Graphing Systems of Equations.notebook 3 December 06, 2019 Classifying Systems of Equations ... Notes,Whiteboard,Whiteboard Page,Notebook

Unit 6 Day 2 Graphing Systems of Equations.notebook

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December 06, 2019

Solve by Graphing

y = ­3x + 2

9x + 3y = 6

Dec 5­5:39 PM

Let's practice on our graphing calculators.

Page 8: Graphing Systems of Equations...Unit 6 Day 2 Graphing Systems of Equations.notebook 3 December 06, 2019 Classifying Systems of Equations ... Notes,Whiteboard,Whiteboard Page,Notebook

Unit 6 Day 2 Graphing Systems of Equations.notebook

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December 06, 2019

Dec 6­12:13 PM

Tell whether or not the point is a solution to the system of equations.

Is (2,1) a solution?

Dec 6­12:13 PM

Tell whether or not the point is a solution to the system of equations.

Is (­1, 1) a solution? x = ­1

x ­ y = 2

Page 9: Graphing Systems of Equations...Unit 6 Day 2 Graphing Systems of Equations.notebook 3 December 06, 2019 Classifying Systems of Equations ... Notes,Whiteboard,Whiteboard Page,Notebook

Unit 6 Day 2 Graphing Systems of Equations.notebook

9

December 06, 2019

Dec 6­12:13 PM

Classwork/Homework:

Graphing Systems of Equations worksheet