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Linear Equations in Two Variables — Revision Notes

Maharashtra Board · Class 10 · Mathematics

Linear Equations in Two Variables revision notes for Maharashtra Board Class 10 Mathematics: 4 topics in quick points.

45 questions25 flashcards12 formulas & key relations5 concepts

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Key Topics to Revise

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1. Linear equations in two variables

  • An equation which contains two variables and the degree of each term containing variable is one, is called a linear equation in two variables.
  • The general form is ax + by + c = 0, where a, b, c are real numbers and a, b are not both zero simultaneously.
  • Either a or b can be zero, but not both together. For example, y = 2 can be written as 0x + y = 2.
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2. Graph of a linear equation in two variables

  • The graph of a linear equation in two variables is a straight line.
  • An ordered pair satisfying the equation represents a point on that line.
  • Two points are sufficient to represent a line, but if the coordinates of one point are wrong, the line will be incorrect.
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3. Simultaneous equations and graphical method

  • When we think about two linear equations in two variables at the same time, they are called simultaneous equations.
  • The solution of a pair of simultaneous equations is the ordered pair that satisfies both equations.
  • For x + y = 4 and 2x - y = 2, the graphs intersect at (2, 2).
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4. Elimination method revision from the example

  • For x + y = 4 and 2x - y = 2, adding the equations removes y.
  • After adding, 3x = 6, so x = 2.
  • Substitute x = 2 into x + y = 4 to get y = 2.

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Full Notes

Key Concepts

An equation which contains two variablesThe graph of a linear equationWhen two linear equations in twoDraw the graphs of both equationsA determinant represents a number

Frequently Asked Questions

What are the important topics in Linear Equations in Two Variables for Maharashtra Board Class 10 Mathematics?
Key topics in Linear Equations in Two Variables include Linear equations in two variables, Graph of a linear equation in two variables, Simultaneous equations and graphical method, Elimination method revision from the example. Study these first, then practise questions on each for the Maharashtra Board Class 10 board exam.
How should I revise Linear Equations in Two Variables for the Maharashtra Board Class 10 board exam?
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.

More resources for Linear Equations in Two Variables

All Maharashtra Board Class 10 Mathematics Revision Notes

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