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Simultaneous (Linear) Equations — Chapter Summary

ICSE · Class 9 · Mathematics

Summary of Simultaneous (Linear) Equations for ICSE Class 9 Mathematics. Part of the ICSE Class 9 Mathematics syllabus.

25 questions24 flashcards9 formulas & key relations5 concepts

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A diagram illustrating two linear equations with two variables and their common solution point, emphasizing that they are 'simultaneous' equations.
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Overview

Simultaneous (linear) equations are two linear equations with the same two variables, considered together. The main goal is to find the values of the variables that satisfy both equations at the same time. A linear equation in two variables has the form ax+by+c=0, where a, b, and c are constants and

Key Concepts

An equation of the form ax+by+c=0

An equation of the form ax+by+c=0 is a linear equation in two variables. The variables x and y each have degree 1.

Two linear equations that contain

Two linear equations that contain the same two variables are called simultaneous linear equations.

Solving two simultaneous linear equations means

Solving two simultaneous linear equations means finding the values of the variables used in the equations.

One variable is first written

One variable is first written in terms of the other, then substituted into the second equation.

The equations are multiplied by suitable

The equations are multiplied by suitable numbers so that one variable has equal coefficients, then the equations are added or subtracted.

Learning Objectives

  • Understand what a linear equation in two variables is
  • Understand what simultaneous linear equations are
  • Find the solution of a pair of linear equations
  • Solve equations by substitution
  • Solve equations by equating coefficients

Frequently Asked Questions

What are the important topics in Simultaneous (Linear) Equations for ICSE Class 9 Mathematics?
Key topics in Simultaneous (Linear) Equations include Core Ideas and Definitions, Method of Elimination by Substitution, Method of Elimination by Equating Coefficients, Method of Cross-Multiplication. Study these first, then practise questions on each for Class 9 exams.
How should I revise Simultaneous (Linear) Equations for Class 9 exams?
Learn the core ideas first, then work through the 25 practice questions on Simultaneous (Linear) Equations. 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 Simultaneous (Linear) Equations

All ICSE Class 9 Mathematics Chapter Summary

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