Chapter 9 of 16
Revision Notes
Linear Equations in Two Variables — Revision Notes
Maharashtra Board · Class 9 · Mathematics
Linear Equations in Two Variables revision notes for Maharashtra Board Class 9 Mathematics: 4 topics in quick points.
45 questions20 flashcards5 concepts
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Key Topics to Revise
1
Introduction to Linear Equations in Two Variables
- A linear equation in two variables has the general form ax + by + c = 0, where a, b, c are real numbers and a, b are not both zero
- The degree of both variables in a linear equation is 1
- A single linear equation in two variables has infinite solutions
2
Simultaneous Equations
- When two linear equations in two variables are considered together, they are called simultaneous equations
- Simultaneous equations may have: (1) Unique solution, (2) No solution, or (3) Infinite solutions
- The common solution satisfies both equations simultaneously
3
Elimination Method
- Eliminate one variable by making coefficients equal and adding or subtracting equations
- Multiply equations by suitable numbers to make coefficients of one variable equal
- After eliminating one variable, solve for the remaining variable
4
Substitution Method
- Express one variable in terms of the other from one equation
- Substitute this expression into the second equation
- Solve the resulting equation in one variable
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Full NotesKey Concepts
An equation of the form axA linear equation in two variablesTwo or more linear equationsA method where one variableA method where one variable
Frequently Asked Questions
What are the important topics in Linear Equations in Two Variables for Maharashtra Board Class 9 Mathematics?
Key topics in Linear Equations in Two Variables include Introduction to Linear Equations in Two Variables, Simultaneous Equations, Elimination Method, Substitution Method. 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
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