Skip to main content
Super TutorResources
Chapter 5 of 26
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Revision Notes

Linear Equations

NIOS · Class 10 · Maths

Quick revision notes for Linear Equations — NIOS Class 10 Maths. Key concepts, formulas, and definitions for last-minute revision.

31 questions28 flashcards5 concepts

Interactive on Super Tutor

Studying Linear Equations? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for revision notes and more.

Try Super Tutor — Free

1,000+ Class 10 students started this chapter today

A labeled diagram illustrating the general form of a linear equation in one variable (ax + b = 0), clearly identifying 'a' as the coefficient, 'x' as the variable, 'b' as the constant, and showing exa
Super Tutor

Super Tutor has 11+ illustrations like this for Linear Equations alone — flashcards, concept maps, and step-by-step visuals.

See them all

Key Topics to Revise

1

1. Linear Equations in One Variable

  • An equation in one variable of degree one is called a linear equation in one variable.
  • A linear equation in one variable has the general form ax + b = 0, a ≠ 0.
  • The solution or root of a linear equation is the value of the variable that satisfies the equation.
2

2. Linear Equations in Two Variables

  • A linear equation in two variables has the general form ax + by + c = 0, where at least one of a or b is non-zero.
  • Each solution of a linear equation in two variables is an ordered pair (x, y).
  • A linear equation in two variables has infinitely many solutions.
3

3. Graphs of Linear Equations in Two Variables

  • The graph of a linear equation in two variables is always a straight line.
  • At least two solutions are needed to draw the graph.
  • Find solution pairs, plot them on the coordinate plane, and join them with a straight line.
4

4. Systems of Linear Equations in Two Variables

  • A system of two linear equations in two variables consists of two equations solved together.
  • The solution of a system is the point where the graphs of the two equations intersect.
  • If lines intersect at one point, the system has a unique solution.

Get complete notes with diagrams and examples

Full Notes

Key Concepts

A linear equation in one variableA linear equation in two variablesThe solution of a linear equationThe same operation must be performedWhen a term is moved from

Frequently Asked Questions

What are the important topics in Linear Equations for NIOS Class 10 Maths?
Key topics in Linear Equations include Linear Equations Concept Overview, Linear Equations Chapter Overview, Linear Equations Complete Overview. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Linear Equations — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 31 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Linear Equations

All 26 chapters — NIOS Class 10 Maths Revision Notes

For serious students

Get the full Linear Equations chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for NIOS Class 10 Maths.

Try Super Tutor Free
Try the full chapter — Free