SlideShare a Scribd company logo
1 of 3
Download to read offline
Ways to Solve Linear Systems
y=2x-3
y=-½x+1

February 18, 2014
y<2
5
y<- 2 x-5

Unit 2
Systems of Equations
1

2

y= x
8
y=x-2
1

y⩾

2

y= x -4
3
y=x-2

1
8

2

x
2

y⩽-x +3

y⩾

1
8

2

x
2

y⩽-x -3

BACK
CUT

FOLD
Ways to Solve Linear Systems

February 18, 2014

Given:
1. 2x-3y=15
1

2. y =- 2 x + 2

Given:
1. -3x + y=10

2. 2x-5y=15

BY SUBSTITUTION
Ways to Solve Linear Systems

Given:
1. 2x + 4y=-15

2. 3x + 8y=24

February 18, 2014

BY ELIMINATION

More Related Content

Viewers also liked

Writing expressions in Radical form, and in exponential form
Writing expressions in Radical form, and in exponential formWriting expressions in Radical form, and in exponential form
Writing expressions in Radical form, and in exponential formJoanne Rosa Crooks
 
Exponential Form - Radicals
Exponential Form - RadicalsExponential Form - Radicals
Exponential Form - Radicalsswartzje
 
Solving System of Equations by Substitution
Solving System of Equations by SubstitutionSolving System of Equations by Substitution
Solving System of Equations by SubstitutionTwinkiebear7
 
Solving systems of Linear Equations
Solving systems of Linear EquationsSolving systems of Linear Equations
Solving systems of Linear Equationsswartzje
 
Polynomials in the Real World
Polynomials in the Real WorldPolynomials in the Real World
Polynomials in the Real Worlddmidgette
 
System of linear equations
System of linear equationsSystem of linear equations
System of linear equationsCesar Mendoza
 
Solving Systems by Graphing and Substitution
Solving Systems by Graphing and SubstitutionSolving Systems by Graphing and Substitution
Solving Systems by Graphing and Substitutionswartzje
 

Viewers also liked (7)

Writing expressions in Radical form, and in exponential form
Writing expressions in Radical form, and in exponential formWriting expressions in Radical form, and in exponential form
Writing expressions in Radical form, and in exponential form
 
Exponential Form - Radicals
Exponential Form - RadicalsExponential Form - Radicals
Exponential Form - Radicals
 
Solving System of Equations by Substitution
Solving System of Equations by SubstitutionSolving System of Equations by Substitution
Solving System of Equations by Substitution
 
Solving systems of Linear Equations
Solving systems of Linear EquationsSolving systems of Linear Equations
Solving systems of Linear Equations
 
Polynomials in the Real World
Polynomials in the Real WorldPolynomials in the Real World
Polynomials in the Real World
 
System of linear equations
System of linear equationsSystem of linear equations
System of linear equations
 
Solving Systems by Graphing and Substitution
Solving Systems by Graphing and SubstitutionSolving Systems by Graphing and Substitution
Solving Systems by Graphing and Substitution
 

More from Joanne Rosa Crooks (20)

Dividing radicals
Dividing radicalsDividing radicals
Dividing radicals
 
Vertical stretch & shrink
Vertical stretch & shrinkVertical stretch & shrink
Vertical stretch & shrink
 
Add & subtract radicals
Add & subtract radicalsAdd & subtract radicals
Add & subtract radicals
 
Graphing parent functions project1
Graphing parent functions project1Graphing parent functions project1
Graphing parent functions project1
 
Parent Function Project
Parent Function ProjectParent Function Project
Parent Function Project
 
Rubric for Graphing parent functions project
Rubric for Graphing parent functions projectRubric for Graphing parent functions project
Rubric for Graphing parent functions project
 
Right triangles day2
Right triangles day2Right triangles day2
Right triangles day2
 
Right triangles day1
Right triangles day1 Right triangles day1
Right triangles day1
 
Day1 1st
Day1 1stDay1 1st
Day1 1st
 
U8 day1 4th
U8 day1 4thU8 day1 4th
U8 day1 4th
 
U6 review
U6 reviewU6 review
U6 review
 
Unit 6 review answers
Unit 6 review answersUnit 6 review answers
Unit 6 review answers
 
Common Logs
Common LogsCommon Logs
Common Logs
 
Common Logarithms
Common LogarithmsCommon Logarithms
Common Logarithms
 
U6 d2 word problems hw
U6 d2   word problems hwU6 d2   word problems hw
U6 d2 word problems hw
 
U6 d1 homework
U6 d1   homeworkU6 d1   homework
U6 d1 homework
 
Day2 3rd & 4th
Day2 3rd & 4thDay2 3rd & 4th
Day2 3rd & 4th
 
U6 day2 1st pd.
U6 day2 1st pd.U6 day2 1st pd.
U6 day2 1st pd.
 
Unit 5 review
Unit 5 reviewUnit 5 review
Unit 5 review
 
Parent graphs cubic & cube root
Parent graphs cubic & cube rootParent graphs cubic & cube root
Parent graphs cubic & cube root
 

Recently uploaded

Fostering Friendships - Enhancing Social Bonds in the Classroom
Fostering Friendships - Enhancing Social Bonds  in the ClassroomFostering Friendships - Enhancing Social Bonds  in the Classroom
Fostering Friendships - Enhancing Social Bonds in the ClassroomPooky Knightsmith
 
Salient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functionsSalient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functionsKarakKing
 
REMIFENTANIL: An Ultra short acting opioid.pptx
REMIFENTANIL: An Ultra short acting opioid.pptxREMIFENTANIL: An Ultra short acting opioid.pptx
REMIFENTANIL: An Ultra short acting opioid.pptxDr. Ravikiran H M Gowda
 
80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...
80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...
80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...Nguyen Thanh Tu Collection
 
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptxBasic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptxDenish Jangid
 
FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024Elizabeth Walsh
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17Celine George
 
How to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POSHow to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POSCeline George
 
ICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxAreebaZafar22
 
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...Nguyen Thanh Tu Collection
 
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdfUGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdfNirmal Dwivedi
 
Exploring_the_Narrative_Style_of_Amitav_Ghoshs_Gun_Island.pptx
Exploring_the_Narrative_Style_of_Amitav_Ghoshs_Gun_Island.pptxExploring_the_Narrative_Style_of_Amitav_Ghoshs_Gun_Island.pptx
Exploring_the_Narrative_Style_of_Amitav_Ghoshs_Gun_Island.pptxPooja Bhuva
 
General Principles of Intellectual Property: Concepts of Intellectual Proper...
General Principles of Intellectual Property: Concepts of Intellectual  Proper...General Principles of Intellectual Property: Concepts of Intellectual  Proper...
General Principles of Intellectual Property: Concepts of Intellectual Proper...Poonam Aher Patil
 
On_Translating_a_Tamil_Poem_by_A_K_Ramanujan.pptx
On_Translating_a_Tamil_Poem_by_A_K_Ramanujan.pptxOn_Translating_a_Tamil_Poem_by_A_K_Ramanujan.pptx
On_Translating_a_Tamil_Poem_by_A_K_Ramanujan.pptxPooja Bhuva
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.pptRamjanShidvankar
 
The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxheathfieldcps1
 
Micro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfMicro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfPoh-Sun Goh
 
Jamworks pilot and AI at Jisc (20/03/2024)
Jamworks pilot and AI at Jisc (20/03/2024)Jamworks pilot and AI at Jisc (20/03/2024)
Jamworks pilot and AI at Jisc (20/03/2024)Jisc
 
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...ZurliaSoop
 

Recently uploaded (20)

Fostering Friendships - Enhancing Social Bonds in the Classroom
Fostering Friendships - Enhancing Social Bonds  in the ClassroomFostering Friendships - Enhancing Social Bonds  in the Classroom
Fostering Friendships - Enhancing Social Bonds in the Classroom
 
Salient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functionsSalient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functions
 
REMIFENTANIL: An Ultra short acting opioid.pptx
REMIFENTANIL: An Ultra short acting opioid.pptxREMIFENTANIL: An Ultra short acting opioid.pptx
REMIFENTANIL: An Ultra short acting opioid.pptx
 
80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...
80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...
80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...
 
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptxBasic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
 
FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17
 
How to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POSHow to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POS
 
ICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptx
 
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
 
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdfUGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
 
Exploring_the_Narrative_Style_of_Amitav_Ghoshs_Gun_Island.pptx
Exploring_the_Narrative_Style_of_Amitav_Ghoshs_Gun_Island.pptxExploring_the_Narrative_Style_of_Amitav_Ghoshs_Gun_Island.pptx
Exploring_the_Narrative_Style_of_Amitav_Ghoshs_Gun_Island.pptx
 
General Principles of Intellectual Property: Concepts of Intellectual Proper...
General Principles of Intellectual Property: Concepts of Intellectual  Proper...General Principles of Intellectual Property: Concepts of Intellectual  Proper...
General Principles of Intellectual Property: Concepts of Intellectual Proper...
 
On_Translating_a_Tamil_Poem_by_A_K_Ramanujan.pptx
On_Translating_a_Tamil_Poem_by_A_K_Ramanujan.pptxOn_Translating_a_Tamil_Poem_by_A_K_Ramanujan.pptx
On_Translating_a_Tamil_Poem_by_A_K_Ramanujan.pptx
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.ppt
 
Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024
 
The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptx
 
Micro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfMicro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdf
 
Jamworks pilot and AI at Jisc (20/03/2024)
Jamworks pilot and AI at Jisc (20/03/2024)Jamworks pilot and AI at Jisc (20/03/2024)
Jamworks pilot and AI at Jisc (20/03/2024)
 
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
 

Ways to solve linear systems

  • 1. Ways to Solve Linear Systems y=2x-3 y=-½x+1 February 18, 2014 y<2 5 y<- 2 x-5 Unit 2 Systems of Equations 1 2 y= x 8 y=x-2 1 y⩾ 2 y= x -4 3 y=x-2 1 8 2 x 2 y⩽-x +3 y⩾ 1 8 2 x 2 y⩽-x -3 BACK CUT FOLD
  • 2. Ways to Solve Linear Systems February 18, 2014 Given: 1. 2x-3y=15 1 2. y =- 2 x + 2 Given: 1. -3x + y=10 2. 2x-5y=15 BY SUBSTITUTION
  • 3. Ways to Solve Linear Systems Given: 1. 2x + 4y=-15 2. 3x + 8y=24 February 18, 2014 BY ELIMINATION