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Linear Equations in Two Variables — Syllabus

Gujarat Board · Class 9 · Mathematics

What Linear Equations in Two Variables covers in Gujarat Board Class 9 Mathematics: 4 topics, for the 2026-27 session.

45 questions24 flashcards2 formulas & key relations5 concepts

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An infographic defining a linear equation in two variables, showing its general form (Ax + By + C = 0) and examples, with labels for variables and coefficients.
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4 Topics · Gujarat Board Class 9 Mathematics · 2026-27

Topics in Linear Equations in Two Variables

1

What is a Linear Equation in Two Variables?

  • A linear equation in two variables contains exactly two variables, usually x and y.
  • The standard form is ax + by + c = 0, where a and b are not both zero.
  • The degree (highest power) of each variable must be 1 — that is why it is called 'linear'.
2

Solutions of a Linear Equation in Two Variables

  • A solution of a linear equation in two variables is an ordered pair (x, y) that satisfies the equation.
  • An ordered pair is written as (x, y) — the x-value always comes first.
  • A linear equation in two variables has INFINITELY MANY solutions.
3

Word Problems – Forming Linear Equations

  • Real-world situations can be expressed as linear equations in two variables.
  • Identify the two unknown quantities and assign variables to them (usually x and y).
  • Translate the relationship given in the problem into a mathematical equation.
4

Graph of a Linear Equation in Two Variables

  • The graph of a linear equation in two variables is always a STRAIGHT LINE.
  • Every point (x, y) on the line is a solution of the equation, and every solution is a point on the line.
  • To draw the graph: find at least two solutions (ordered pairs), plot them on the Cartesian plane, and join them with a straight line.

Key Concepts

A linear equation in two variablesMany equations that look different atA solution of a linear equationTo find solutions systematicallyUnlike linear equations in one variable

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Frequently Asked Questions

What are the important topics in Linear Equations in Two Variables for Gujarat Board Class 9 Mathematics?
Key topics in Linear Equations in Two Variables include What is a Linear Equation in Two Variables?, Solutions of a Linear Equation in Two Variables, Word Problems – Forming Linear Equations, Graph of a Linear Equation in Two Variables. Study these first, then practise questions on each for Class 9 exams.
How should I revise Linear Equations in Two Variables for Class 9 exams?
Learn the core ideas first, then work through the 45 practice questions on Linear Equations in Two Variables. Revise 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.

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All Gujarat Board Class 9 Mathematics Syllabus

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