Chapter 4 of 12
Revision Notes
Linear Equations in Two Variables — Revision Notes
Gujarat Board · Class 9 · Mathematics
Linear Equations in Two Variables revision notes for Gujarat Board Class 9 Mathematics: 4 topics in quick points.
45 questions24 flashcards2 formulas & key relations5 concepts
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Key Topics to Revise
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.
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Full NotesKey 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
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.
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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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