IB Class 10 Mathematics – Group 5, Algebra | 3. Simultaneous Equations by Abraham | Learn Smarter
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3. Simultaneous Equations

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Sections

  • 1

    What Are Simultaneous Equations?

    Simultaneous equations involve solving multiple equations with shared variables, where the solution must satisfy all equations at once.

    Learning Practice

  • 2

    Methods Of Solving Simultaneous Equations

    This section covers three methods for solving simultaneous equations: substitution, elimination, and graphical methods.

    Learning Practice

  • 2.1

    Substitution Method

    The substitution method is a technique for solving simultaneous equations by isolating one variable and substituting it into another equation.

    Learning Practice

  • 2.2

    Elimination Method

    The elimination method is a technique used to solve simultaneous equations by eliminating one variable through addition or subtraction.

    Learning Practice

  • 2.3

    Graphical Method

    The graphical method is a technique for solving simultaneous equations by plotting them on a coordinate plane and identifying their points of intersection.

    Learning Practice

  • 3

    Special Cases

    This section covers the special cases of simultaneous equations including scenarios with no solutions and infinite solutions.

    Learning Practice

  • 3.1

    No Solution (Parallel Lines)

    This section explains the concept of simultaneous equations that yield no solution, specifically focusing on parallel lines that never intersect.

    Learning Practice

  • 3.2

    Infinite Solutions (Same Line)

    The section discusses the concept of infinite solutions in simultaneous equations, illustrating how two equations can represent the same line.

    Learning Practice

  • 4

    Application: Word Problems

    This section focuses on converting real-life scenarios into simultaneous equations and solving them.

    Learning Practice

  • 5

    Practice Exercises

    This section provides practical exercises to apply knowledge on solving simultaneous equations.

    Learning Practice

  • 6

    Summary

    This section provides an overview of simultaneous equations, their solving methods, and their applications in real-life scenarios.

    Learning Practice

References

10 IB algebra ch3.pdf

Class Notes

Memorization

Revision Tests