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Linear Equations in Two Variables

Maharashtra Board · Class 10 · Mathematics

Complete topic list for Linear Equations in Two Variables in Maharashtra Board Class 10 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

45 questions25 flashcards5 concepts

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4 Topics · Maharashtra Board Class 10 Mathematics

Topics in Linear Equations in Two Variables

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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.

Key Concepts

Central concept: A linear equation in two variables and the methods used to represent, solve, and reduce related equations

Linear equation in two variablesGraph of a linear equationSimultaneous linear equationsGraphical methodDeterminantCramer's methodEquations reducible to linear formGabriel Cramer

Frequently Asked Questions

What are the important topics in Linear Equations in Two Variables for Maharashtra Board Class 10 Mathematics?
Linear Equations in Two Variables covers several key topics that are frequently asked in Maharashtra Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Linear Equations in Two Variables — Maharashtra Board Class 10 Mathematics?
Understand the core concepts first, then work through the 45 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.

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All 13 chapters — Maharashtra Board Class 10 Mathematics Syllabus

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