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Linear Equations in Two Variables — Chapter Summary

Maharashtra Board · Class 10 · Mathematics

Summary of Linear Equations in Two Variables for Maharashtra Board Class 10 Mathematics. Part of the Maharashtra Board Class 10 Mathematics syllabus.

45 questions25 flashcards12 formulas & key relations5 concepts

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Overview

Notice that a linear equation in two variables has degree 1 in each variable, and its graph is a straight line. Count the key tools: general form, graphing, simultaneous equations, determinant method, and transforming certain non-linear equations into linear form. Keep the main idea in mind: ordered

Key Concepts

An equation which contains 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 gen

The graph of a linear equation

The graph of a linear equation in two variables is a straight line. Any ordered pair that satisfies the equation represents a point on that line.

When two linear equations in two

When two linear equations in two variables are considered at the same time, they are called simultaneous equations.

Draw the graphs of both equations

Draw the graphs of both equations on the same coordinate plane and find their point of intersection. The coordinates of the intersection give the solu

A determinant represents a number

A determinant represents a number which is ad - bc for the 2 × 2 determinant | a b; c d |. Determinants are usually written with capital letters, and

Learning Objectives

  • Identify a linear equation in two variables and write it in general form.
  • Recognize whether an equation is linear in two variables or not.
  • Plot a linear equation as a straight line using ordered pairs.
  • Solve simultaneous linear equations by the graphical method.
  • Solve simultaneous linear equations using Cramer's method.

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 Chapter Summary

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