Simultaneous Equations

Tutorial Videos

GCSE Maths – How to Solve Simultaneous Equations Using Graphs (2026/27 exams)

GCSE Maths – How to Solve Simultaneous Equations Using Graphs by Cognito

Solving Simultaneous Equations Graphically

Solving Simultaneous Equations Graphically by Maths Genie

Solving Simultaneous Equations Graphically

Solving Simultaneous Equations Graphically by Interactive Maths

Solving Simultaneous Equations Graphically – Corbettmaths

Corbett Maths Solving Simultaneous Equations Graphically

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Simultaneous equations graphically: Videos & practice

Activities & Resources

• Pixi Maths
  • Solving Simultaneous Equations Graphically ppt
• Andy Lutwyche
  • Solving Simultaneous Equations Graphically
  • Solving Linear Simultaneous Equations Graphically
  • Codebreaker
  • Intersecting Points Codebreaker
  • Defuse The Bomb
  • GSCE Maths: Graphs line worksheet.
• Math = Love (Sarah Carter)
  • Tied Up In Knots exploration
  • Graphing Method Foldable
• AlgebraLAB
  • All Tied Up in Knots
• Don Steward
  • Where Lines Meet✦
  • Four Lines
  • Simultaneous Equations and Graphs✦
• Interactive Maths
  • Solving Simultaneous Equations Graphically: Video
• Go Teach Maths
  • Evaluating Intersections of Linear Graphs
  • Solving Simultaneous Equations Graphically
• Desmos
  • Systems of Two Linear Equations (the graphical meaning of a solution to simultaneous equations)
• Tristan Jones
  • Simultaneous Equations: Solving Simultaneous Equations Graphically✦
• Jo Morgan
  • Simultaneous Equations: Solving Simultaneous Equations Graphically✦
• Ticktock Maths
  • Simultaneous Equations Graphically lesson (slides)
• NCETM
  • NCETM Key Idea: Interpreting the intersection of two linear graphs (PowerPoint)

Worksheets

• Dr Austin Maths
  • Investigating Graphs Activity (Word | PDF | Answers)
  • Practice Grid (Word | PDF | Answers)
  • Investigating Solutions to Activity (Word | PDF | Answers)
  • Solutions to Practice Strips (Word | PDF | Answers)
• Corbettmaths
  • Simultaneous Equations: Graphical Worksheet & Solutions
• Pixi Maths
  • Solving Simultaneous Equations Graphically RAG
• Maths Genie
  • Solving Simultaneous Equations Graphically: Booklet · Worksheet · Solutions · Lesson · Topic page
• Kuta Software
  • Solving systems of equations by graphing
• Naiker Maths
  • Solving Simultaneous Equations Graphically: Worksheet
• Access Maths
  • Graphical Simultaneous Equations Fluency & Reasoning Sheet
• MME
  • Solving Simultaneous Equations with Graphs (exam style): Questions | Answers

Dr Frost Slides & Activities

• All in one summary sheet

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 275a: Solve linear simultaneous equations/systems of equations using an existing plot of each line.
• 275b: Solve linear simultaneous equations/systems of equations by first plotting each line.
• 276k: Solve linear simultaneous equations/systems of equations to determine the point of intersection of two lines.
• 275: Exam Practice: Solving linear simultaneous equations/systems of equations using graphical methods
• 276: Exam Practice: Solving linear simultaneous equations/systems of equations using elimination or substitution

Tutorial Videos

Solving Simultaneous Equations Graphically (with Quadratics!!) | Grade 7+ Series | GCSE Maths Tutor

Solving Simultaneous Equations Graphically (with Quadratics!!) by The GCSE Maths Tutor

Intersection Between Lines & Curves (1 of 2: Basic example)

Intersection Between Lines & Curves (1 of 2: Basic example) by Eddie Woo

Online Platforms (with Videos & Exercises)

Activities & Resources

• Go Teach Maths
  • Solving Simultaneous Linear & Non-Linear Equations Graphically
• BossMaths
  • A19d Linear/Quadratic Simultaneous Equations Graphically

Worksheets

Dr Frost Slides & Activities

• Dr Frost Slides (4)

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 421e: Solve simultaneous equations/systems of equations using graphical methods, where one is linear and the other is quadratic or a given curved graph.
• 421: Exam Practice: Using graphs to count solutions and find approximate solutions to equations

Tutorial Videos

Simultaneous Equations elimination – Corbettmaths

Corbett Maths Simultaneous Equations Elimination (Up to 5:44)

Online Platforms (with Videos & Exercises)

Activities & Resources

• Pixi Maths
  • Introduction to Solving Simultaneous Equations ppt
• Andy Lutwyche
  • Graded Worksheet
• Math = Love (Sarah Carter)
  • Balancing Act puzzles
  • Elimination Graphic Organiser
  • Acrobats, Grandmas & Ivan Task
  • Blank Algebraic Methods Organisers
• Heather Sparks
  • Balancing Act Puzzles
• Don Steward
  • Simultaneous Equations Generalising 2 · 1✦
  • Three Simple Simultaneous Equation Tasks
  • So, Simultaneous Equations
  • Simultaneous Equation Deductions✦
  • Dog, Cat, Rabbit
  • Two Plank Lengths and Toy Giraffes
  • Simultaneous Equations Using Rods
• Transum
  • Simultaneous Shopping
  • Unbeknownst
• Interactive Maths
  • Simultaneous Equations by Elimination: Video
• Go Teach Maths
  • Solving Simultaneous Equations Using Elimination
  • Solving Simultaneous Equations: Only Negative Coefficients
• Desmos
  • Linear Simultaneous Equations (Equal Coefficients) (by K Bedford)
• BossMaths
  • Solving simultaneous equations by elimination – full lesson✦
• Ticktock Maths
  • Simultaneous Equations with Same Coefficients lesson (slides)

Worksheets

• Dr Austin Maths
  • True or False (Word | PDF | Answers)
  • Sort It Out (Word | PDF | Answers)
  • Solving Simultaneous Equations (Same y Coefficients) Fill in the Blanks (Word | PDF | Answers)
  • Solving Simultaneous Equations (Same y Coefficients) Practice Strips (Answers)
  • Solving Simultaneous Equations (Same x Coefficients) Fill in the Blanks (Word | PDF | Answers)
• Corbettmaths
  • Simultaneous Equations Practice Questions (Q1-6) & Solutions
  • Simultaneous Equations Worksheet (Q1) & Solutions
• CIMT MEP (online self-checking)
  • Simultaneous Equations
• MME
  • Simultaneous Equations, linear (exam style): Questions | Answers  •  Simultaneous Equations, linear (drill): Questions | Answers
• Starting Points Maths
  • Simultaneous Equations by Elimination · PDF
• Mr Morley Maths
  • Linear Simultaneous Equations: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
• Pret Homework (@MissBsResources)
  • Simultaneous Equations (@MissBsResources, pptx)

Dr Frost Video

Key Skill – Solve simultaneous equations where one unknown has equal positive coefficients.

K376: Solve Simultaneous Equations Where One Unknown has Equal Positive Coefficients.

K Skill- Solve simultaneous equations where one unknown has equal coefficients with different signs.

K377: Solve Simultaneous Equations Where One Unknown has Equal Coefficients With Different Signs.

Dr Frost Slides & Activities

• All in one summary sheet

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 276a: Solve linear simultaneous equations/systems of equations where one unknown has equal positive coefficients.
• 276b: Solve linear simultaneous equations/systems of equations where one unknown has equal negative coefficients.
• 276c: Solve linear simultaneous equations/systems of equations where one unknown has equal coefficients with different signs.
• 276: Exam Practice: Solving linear simultaneous equations/systems of equations using elimination or substitution

Further Practice

• Practise Questions

Tutorial Videos

Simultaneous Equations elimination – Corbettmaths

Corbett Maths Simultaneous Equations Elimination (From 5:44)

Online Platforms (with Videos & Exercises)

Activities

• Pixi Maths
  • Linear Simultaneous Equations ppt
• Andy Lutwyche
  • McDonald’s Style
  • Clumsy Clive
  • Codebreakers
  • Exploding
  • Spiders
  • Crack The Safe
  • Codebreaker
  • Defuse The Bomb
  • Save Our Satellite
  • Fenton’s
• Don Steward
  • Simultaneous Equations Generalising 6 · 5 · 4 · 3
  • Solving Simultaneous Equations Loops
  • Transforming Linear Relationships
  • Slight Variation
• Goal Free Problems
  • Higher Algebra set Q20
• Go Teach Maths
  • Solving Simultaneous Equations by Balancing Coefficients
• Ticktock Maths
  • Simultaneous Equations by Scaling lesson (slides)

Worksheets

• Dr Austin Maths
  • Solving Simultaneous Equations (Different y Coefficients) Fill in the Blanks (Word | PDF | Answers)
  • Solving Simultaneous Equations (Different y Coefficients) Practice Strips (Word | PDF | Answers)
  • Solving Simultaneous Equations (Different x Coefficients) Fill in the Blanks (Word | PDF | Answers)
  • Crack the Code (Word | PDF✦ | Answers✦)
  • Worded Problems Practice Strips (Word | PDF | Answers)
  • Worded Name the Film (Word | PDF | Answers)
  • Revision Practice Grid (Editable Word | PDF | Answers)
  • Geometric Problems Practice Strips (Word | PDF | Answers)
  • Harder Practice Grid (Word | PDF | Answers)
• Corbettmaths
  • Simultaneous Equations Practice Questions (Q7-15 & 18-20) & Solutions
  • Simultaneous Equations Worksheet (Q2 Onwards) & Solutions
• Maths 4 Everyone
  • Linear Simultaneous Equations GCSE Questions and Solutions
• Pixi Maths
  • Linear Simultaneous Equations RAG
  • Worded Linear Simultaneous Equations
• Naiker Maths
  • Simultaneous Equations: Worksheet
• Access Maths
  • Simultaneous Linear Equations Fluency & Reasoning Sheet
• MadAsMaths (T. Madas)
  • Practical Arithmetic Problem Solving Q5, 22 (difficulty 3–4 of 5)
  • Equations Exam Questions I Q33, 60 (difficulty 3–4 of 5)
  • Equations Basic Techniques Linear Simultaneous Equations Q1–7

Dr Frost Video

KS – Solve simultaneous equations with unequal coefficients where the unknowns have the same signs.

K378: Solve Simultaneous Equations With Unequal Coefficients Where the Unknowns have the Same Signs.

KS – Solve simultaneous equations where the second unknowns are unequal and have different signs.

K379: Solve Simultaneous Equations With Unequal Coefficients Where the Second Unknowns have Different Signs.

Key Skill – Form and solve simultaneous equations from written information.

K380: Form and Solve Simultaneous Equations from Written Information.

Dr Frost Slides & Activities

• Slides & Worksheet

Topic Test

• Standard Test

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 276d: Solve linear simultaneous equations/systems of equations where one equation needs to be scaled.
• 276e: Solve linear simultaneous equations/systems of equations where both equations need to be scaled.
• 276f: Solve linear simultaneous equations/systems of equations requiring rearrangement by elimination.
• 276i: Form and solve linear simultaneous equations/systems of equations for a given non-geometric context.
• 276j: Form and solve linear simultaneous equations/systems of equations for a given geometric context.
• 276: Exam Practice: Solving linear simultaneous equations/systems of equations using elimination or substitution

Further Practice

• Practise Questions

Other Videos & Multimedia

Simultaneous Equations with Three Unknowns

Corbett Maths Simultaneous Equations with Three Unknowns

Worksheets

• Corbettmaths
  • Simultaneous Equations: 3 Unknowns Worksheet & Solutions

Tutorial Videos

Solving simultaneous equations by substitution

Solving simultaneous equations by substitution by Whiteboard Maths

Substitution Method | Simultaneous Equations

Substitution Method | Simultaneous Equations by Piece of Pi

Learn to solve a system of equations using substitution

Learn to solve a system of equations using substitution by Brian McLogan

Solving Simultaneous Equations by Substitution – Corbettmaths

Corbett Maths Solving Simultaneous Equations by Substitution

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Simultaneous equations by substitution: Videos & practice

Activities

• Math = Love (Sarah Carter)
  • Substitution Graphic Organiser
• Don Steward
  • Getting the Same Number (ii)
• Interactive Maths
  • Simultaneous Equations by Substitution: Video
• Go Teach Maths
  • Solving Simultaneous Equations Using Substitution
• BossMaths
  • A19b Simultaneous Equations Graphically or by Substitution

Worksheets

• Corbettmaths
  • Simultaneous Equations Practice Questions (Q16-17) & Solutions
• Dr Austin Maths
  • Practice Strips (Word | PDF | Answers)
  • Finding Coordinates of Intersection Algebraically Practice Strips (Word | PDF | Answers)
• Kuta Software
  • Solving systems of equations by substitution

Dr Frost Video

Dr Frost Slides & Activities

• Slides & Worksheet

Topic Test

• Standard Test

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 276g: Solve linear simultaneous equations/systems of equations by substitution.
• 276: Exam Practice: Solving linear simultaneous equations/systems of equations using elimination or substitution

Further Practice

• Practise Questions

Tutorial Videos

Simultaneous equations (linear and non-linear) – Corbettmaths

Corbett Maths Simultaneous Equations (Linear & Non-Linear)

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Non-linear simultaneous equations: Videos & practice

Activities

• Pixi Maths
  • Non-Linear Simultaneous Equations ppt
• Andy Lutwyche
  • Codebreaker
  • Maths worksheet
• Math = Love (Sarah Carter)
  • How Tall is Harold? Task
• Don Steward
  • Quadratic Meets Linear✦
• Acute Learning Problem Pairs
  • Level 2 FM: Simultaneous Equations (Two Unknowns) as PowerPoint or PDF
• Interactive Maths
  • Simultaneous Equations (One Non-Linear): Video
• Go Teach Maths
  • Solving Simultaneous Linear & Non-Linear Equations Algebraically
• Ticktock Maths
  • Quadratic Simultaneous Equations lesson (slides)

Worksheets

• Dr Austin Maths
  • Practice Strips (Word | PDF | Answers)
  • Practice Grid (Word | PDF | Answers)
  • Fill in the Blanks (Word | PDF | Answers)
  • Harder Non- Practice Strips (Word | PDF | Answers)
• Corbettmaths
  • Simultaneous Equations Linear & Non-Linear Practice Questions & Solutions
  • Simultaneous Equations Linear & Non-Linear Worksheet & Solutions
  • Simultaneous Equations (Non-Linear) AQA Level 2 Practice Questions & Solutions
• Maths 4 Everyone
  • Non-Linear Simultaneous Equations Topic Review
  • Non-Linear Simultaneous Equations GCSE Questions and Solutions
• Pixi Maths
  • Nonlinear Simultaneous Equations RAG
• Maths Genie
  • Quadratic Simultaneous Equations: Booklet · Worksheet · Solutions · Lesson · Topic page
• Mathsaurus (Kevin Olding)
  • Quadratic simultaneous equations (exam questions)
• Naiker Maths
  • Quadratic Simultaneous Equations: Worksheet
• Access Maths
  • Simultaneous Quadratic Equations Fluency & Reasoning Sheet
• MME
  • Simultaneous Equations, non-linear (exam style): Questions | Answers  •  Simultaneous Equations, linear & non-linear (drill): Questions | Answers
• 1st Class Maths
  • Non-linear simultaneous equations exam-style questions✦ (answers✦)
• MadAsMaths (T. Madas)
  • Equations Exam Questions I Q2–3, 5–6, 9, 12, 17, 19 (difficulty 2–3 of 5)
  • Equations Basic Techniques Non-Linear Simultaneous Equations Q1–12
• Mr Morley Maths
  • Linear and Quadratic Simultaneous Equations: Notes jotter/worksheet · Exam questions · Mark scheme

Dr Frost Video

Key Skill – Solve non-linear simultaneous equations where y is the subject of both equations.

K570: Solve Non-Linear Simultaneous Equations Where y is the Subject of Both Equations.

Key Skill – Solve non-linear simultaneous equations with one equation in the form x^2+y^2=a.

K571: Solve Non-Linear Simultaneous Equations With One Equation in the Form x²+y²=a.

Dr Frost Slides & Activities

• Slides & Worksheet

Topic Test

• Standard Test

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 276h: Solve non-linear simultaneous equations/systems of equations where y is the subject of both equations, to give a linear equation to be solved.
• 419a: Use a given value of x or y to verify a point of intersection of two graphs with given equations. (not yet active)
• 419b: Solve non-linear simultaneous equations/systems of equations where y is the subject of both equations, to give a quadratic equation to be solved.
• 419c: Solve non-linear simultaneous equations where x or y is the subject of the linear equation.
• 419d: Solve non-linear simultaneous equations where x or y is not the subject of the linear equation.
• 419e: Solve simultaneous equations/systems of equations given in the form ax + by = c and x² + y² = d
• 419f: Solve simultaneous equations/systems of equations with variables in denominator of fractions e.g. x/y+2y/x=4 and y=x-2
• 419g: Form and solve non-linear simultaneous equations/systems of equations for a given context.
• 419h: Find the points of intersection of a line and a quadratic curve. (not yet active)
• 276: Exam Practice: Solving linear simultaneous equations/systems of equations using elimination or substitution
• 419: Exam Practice: Solving non-linear simultaneous equations/systems of equations by substitution

Further Practice

• Practise Questions

Acute Learning Problem Pairs

• Simultaneous Equations Linear (Elimination) as PowerPoint or PDF
• Simultaneous Equations (Graphical) as PowerPoint or PDF
• Simultaneous Equations (Quadratic) as PowerPoint or PDF
• Simultaneous Equations Linear (Substitution) as PowerPoint or PDF

Worksheets

• Corbett Maths
  • Simultaneous Equations (Both Linear) AQA Level 2 Practice Questions & Solutions
• Maths 4 Everyone
  • Linear Simultaneous Equations Review Sheet
• Andy Lutwyche
  • Graph Intersections
  • Places You Wouldn’t Expect
• Mathshelper (Jon Stone)
  • Simultaneous Equations Mega Sheet✦
  • Simultaneous Equations
  • Simultaneous Equations✦
  • Line Intersections
• MathedUp
  • Linear Simultaneous Equations: Worksheet · Practice · Quiz · Exam · Question Gallery
  • Simultaneous Equations (Linear & Quadratic): Worksheet · Practice · Quiz · Exam · Question Gallery
  • Simultaneous Equations: Worksheet · Practice · Quiz · Question Gallery
  • Line–Curve Intersection: Worksheet · Practice · Quiz · Question Gallery
• Maths Genie
  • Simultaneous Equations: Booklet · Worksheet · Solutions · Lesson · Topic page
• Kuta Software
  • Systems of equations word problems
• Mathsaurus (Kevin Olding)
  • Linear simultaneous equations (exam questions)
• Physics & Maths Tutor
  • Simultaneous Equations: Notes · Worksheet · Solutions
• MME
  • Simultaneous Equations, mixed (drill): Questions | Answers
• variationtheory.com
  • Simultaneous equations exercises✦
  • The final step✦
• Dr Frost
  • Simultaneous Equations Full Coverage GCSE Questions✦
• @taylorda01
  • Simultaneous equations questions✦ (answers✦)

Activities

• Math = Love (Sarah Carter)
  • Writing Simultaneous Equations Foldable
  • Simultaneous Equations Foldable
• Intervention Tasks
  • Find the Mistake + Your Turn to Try (PDF)
• NRICH (student problems)
  • Equations & Formulae (Age 11-14): Problems
  • Equations & Formulae (Age 11-14): Short Problems
  • Equations & Formulae (Age 14-16): Problems
  • Equations & Formulae (Age 14-16): Short Problems
• Don Steward
  • Solving Simultaneous Equations Article
  • Similar Simultaneous Equations
  • Equal Tops Pyramids
  • Simultaneous Equation Tasks✦
  • Bits and Bobs
  • Weight Balancing
  • Simultaneous Equations with Patterns
• The Chalkface
  • Simultaneous Equations Problem: PDF
• Transum
  • Simultaneous Equations
• Interactive Maths
  • Solving Simultaneous Equations: QQI | 10QQI | Count Down | Relay | Bingo
  • Solving Simultaneous Equations: Worksheets
• Go Teach Maths
  • Forming & Solving Simultaneous Equations
  • Solving Simultaneous Equations With Mixed Methods
• Desmos
  • Card Sort: Linear Systems (graphical solutions and choosing the most efficient method)
• Dr Austin Maths
  • Simultaneous equations✦
• Ashton Coward
  • Scaffolded simultaneous equations✦
• Mr Thompson Maths
  • Simultaneous Equations in Geometrical Problems✦
• #TypedUp
  • Miscellaneous simultaneous equations✦ (typed up by @fionajw)