SlideShare a Scribd company logo
4
Most read
7
Most read
Examples
Example 1
 5x+4y=43
 2x+y=13
• Solution=3,y=7
Elimination Method
 2(5x+4y)=43=10x+8y=86
 5(2x+y)=13=10x+5y=65
 (10x+8y)-(10x+5y)=3y=21
 Y=21/3=7
 13-(7)=6
 X=6/2=3
Substitution Method
 Y=13-2x
 5x+4(13-2x)=43
 5x+52-8x=43
 -3x+52=43
 3x=52-43=9
 X=9/3=3
 Y=13-2(3)=7
Graph Method
X 1 2 3 4 5
y 9.5 8.25 7 5.75 4.5
 5x+4y=43
 2x+y=13
X 1 2 3 4 5
y 11 9 7 5 3
Example 2
 5x-5y=7
 6x-6y=12
• No Solution
Elimination Method
 6(5x-5y)=30x-30y=42
 5(6x-6y)=30x-30y=60
 (30x-30y)-(30x-30y)=0=18
Substitution Method
 X=7+5y/5
 6(7+5y/5)-6y=12
 42+30y-30y=60
 42=60
Graph Method
 5x-5y=7
 6x-6y=12
X 1 2 3 4 5
y -0.4 0.6 1.6 2.6 3.6
X 1 2 3 4 5
y -1 0 1 2 3
Example 3
 4x+8y=24
 7x+14y=42
• Infinitely Many Solutions
Elimination Method
 7(4x+8y)-4(7x+14y)=28x+56y-28x-56y=0
Substitution Method
 X=24-8y/4
 7(24-8y/4)+14y=42
 168-56y+56y=168
 168=168
Graph Method
• 4x+8y=42
• 7x+14y=42
X 1 2 3 4 5
y 4.75 4.25 3.75 3.25 2.75
X 1 2 3 4 5
y 4.75 4.25 3.75 3.25 2.75

More Related Content

PPTX
甲處-廢棄物處理設施操作維護及營運管理20181117
PDF
20200328 haccp a
PDF
深さ優先探索による塗りつぶし
PDF
決定木・回帰木に基づくアンサンブル学習の最近
PDF
タイル型ウィンドウマネージャawesomeのススメ
PDF
多人数不完全情報ゲームにおけるAI ~ポーカーと麻雀を例として~
PDF
畳み込みニューラルネットワークが なぜうまくいくのか?についての手がかり
PDF
第10回 配信講義 計算科学技術特論B(2022)
甲處-廢棄物處理設施操作維護及營運管理20181117
20200328 haccp a
深さ優先探索による塗りつぶし
決定木・回帰木に基づくアンサンブル学習の最近
タイル型ウィンドウマネージャawesomeのススメ
多人数不完全情報ゲームにおけるAI ~ポーカーと麻雀を例として~
畳み込みニューラルネットワークが なぜうまくいくのか?についての手がかり
第10回 配信講義 計算科学技術特論B(2022)

Similar to Secondary 2 Mathematics-Simultaneous Linear Equation in 2 Unknowns Worked Examples (20)

PPTX
Simultaneous equations
PDF
Solution Manual : Chapter - 06 Application of the Definite Integral in Geomet...
PPT
Solving equations with fractions2
PDF
Intermediate algebra 8th edition tobey solutions manual
PDF
Sistemas de ecuaciones
DOC
5th period review cart awithanswers
PDF
Re call basic operations in mathematics
PDF
Question and Solutions Exponential.pdf
DOC
5th period review carta WITH ANSWERS
DOC
5th period review cartawithanswers
DOC
5th period review carta WITH ANSWERS
PDF
C6 6.5
PDF
Intermediate Algebra 7th Edition Tobey Solutions Manual
PPTX
GCSEYr9-SolvingQuadratics.pptx
PPT
Core 3 Modulus 2
PDF
Ejercicios de verano para primero de eso
PPTX
Solving 2 step equations examples
PPT
Linear systems with 3 unknows
PDF
Smart sol
PDF
Smart sol
Simultaneous equations
Solution Manual : Chapter - 06 Application of the Definite Integral in Geomet...
Solving equations with fractions2
Intermediate algebra 8th edition tobey solutions manual
Sistemas de ecuaciones
5th period review cart awithanswers
Re call basic operations in mathematics
Question and Solutions Exponential.pdf
5th period review carta WITH ANSWERS
5th period review cartawithanswers
5th period review carta WITH ANSWERS
C6 6.5
Intermediate Algebra 7th Edition Tobey Solutions Manual
GCSEYr9-SolvingQuadratics.pptx
Core 3 Modulus 2
Ejercicios de verano para primero de eso
Solving 2 step equations examples
Linear systems with 3 unknows
Smart sol
Smart sol
Ad

More from MarioSonic54 (20)

PPTX
Upper Secondary Social Studies-Regional Relations
PPTX
Upper Secondary Geography-Climatic types
PPTX
Upper Secondary Chemistry-Rust
PPTX
Upper Secondary Social Studies-Impact of conflict on northern ireland
PPTX
Upper Secondary Geography-Groups of people affecting tourism
PPTX
Upper Secondary Principles of Account-Profit or loss account
PPTX
Upper Secondary Chemistry-Atomic structure of group i
PPTX
Upper Secondary Chemistry-Groups and Periods of Periodic Table
PPTX
Upper Secondary Social Studies-System of Government in Singapore
PPTX
Upper Secondary Physics-Application of Conduction
PPTX
English-Continuous Tense
PPTX
Upper Secondary Physics-Speed-Time Graph
PPTX
English-Simple Tense
PPTX
Upper Secondary Physics-Distance-Time Graph
PPTX
Upper Secondary Physics-Speed, Velocity and Acceleration
PPTX
Secondary 2 History-Singapore Tackling Challenges of Defense and Security
PPTX
Secondary 2 Geography-Measures to Reduce Ozone Depletion
PPTX
Secondary 2 Geography-Ozone Depletion
PPTX
Secondary 2 Geography-Global Warming
PPTX
Secondary 2 History-Singapore Separating From Malaysia
Upper Secondary Social Studies-Regional Relations
Upper Secondary Geography-Climatic types
Upper Secondary Chemistry-Rust
Upper Secondary Social Studies-Impact of conflict on northern ireland
Upper Secondary Geography-Groups of people affecting tourism
Upper Secondary Principles of Account-Profit or loss account
Upper Secondary Chemistry-Atomic structure of group i
Upper Secondary Chemistry-Groups and Periods of Periodic Table
Upper Secondary Social Studies-System of Government in Singapore
Upper Secondary Physics-Application of Conduction
English-Continuous Tense
Upper Secondary Physics-Speed-Time Graph
English-Simple Tense
Upper Secondary Physics-Distance-Time Graph
Upper Secondary Physics-Speed, Velocity and Acceleration
Secondary 2 History-Singapore Tackling Challenges of Defense and Security
Secondary 2 Geography-Measures to Reduce Ozone Depletion
Secondary 2 Geography-Ozone Depletion
Secondary 2 Geography-Global Warming
Secondary 2 History-Singapore Separating From Malaysia
Ad

Recently uploaded (20)

PDF
Agricultural_Statistics_at_a_Glance_2022_0.pdf
PPTX
Machine Learning_overview_presentation.pptx
PDF
Per capita expenditure prediction using model stacking based on satellite ima...
PPTX
Group 1 Presentation -Planning and Decision Making .pptx
PPTX
Tartificialntelligence_presentation.pptx
PDF
Mobile App Security Testing_ A Comprehensive Guide.pdf
PDF
cuic standard and advanced reporting.pdf
PPTX
A Presentation on Artificial Intelligence
PDF
Spectral efficient network and resource selection model in 5G networks
PDF
Optimiser vos workloads AI/ML sur Amazon EC2 et AWS Graviton
PDF
Encapsulation theory and applications.pdf
PDF
Architecting across the Boundaries of two Complex Domains - Healthcare & Tech...
PPTX
KOM of Painting work and Equipment Insulation REV00 update 25-dec.pptx
PPT
“AI and Expert System Decision Support & Business Intelligence Systems”
PDF
gpt5_lecture_notes_comprehensive_20250812015547.pdf
PDF
Reach Out and Touch Someone: Haptics and Empathic Computing
PDF
Profit Center Accounting in SAP S/4HANA, S4F28 Col11
PPTX
MYSQL Presentation for SQL database connectivity
PPTX
1. Introduction to Computer Programming.pptx
PPTX
Big Data Technologies - Introduction.pptx
Agricultural_Statistics_at_a_Glance_2022_0.pdf
Machine Learning_overview_presentation.pptx
Per capita expenditure prediction using model stacking based on satellite ima...
Group 1 Presentation -Planning and Decision Making .pptx
Tartificialntelligence_presentation.pptx
Mobile App Security Testing_ A Comprehensive Guide.pdf
cuic standard and advanced reporting.pdf
A Presentation on Artificial Intelligence
Spectral efficient network and resource selection model in 5G networks
Optimiser vos workloads AI/ML sur Amazon EC2 et AWS Graviton
Encapsulation theory and applications.pdf
Architecting across the Boundaries of two Complex Domains - Healthcare & Tech...
KOM of Painting work and Equipment Insulation REV00 update 25-dec.pptx
“AI and Expert System Decision Support & Business Intelligence Systems”
gpt5_lecture_notes_comprehensive_20250812015547.pdf
Reach Out and Touch Someone: Haptics and Empathic Computing
Profit Center Accounting in SAP S/4HANA, S4F28 Col11
MYSQL Presentation for SQL database connectivity
1. Introduction to Computer Programming.pptx
Big Data Technologies - Introduction.pptx