If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation:
This NCERT solution guide is tailored for Class 9th Mathematics, specifically focusing on Chapter 4: Linear Equations in Two Variables. It addresses MCQ-based questions and short answer exercises, offering clear and concise solutions. The chapter delves into key topics like solving linear equations using various methods such as substitution and elimination, along with graphical representations. Each solution is explained step-by-step to aid students in mastering the concepts and improving their problem-solving abilities. These solutions are designed to help students strengthen their grasp of linear equations and perform confidently in assessments.
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When we multiply or divide both sides of a linear equation by a non-zero number, the solution of the equation remains the same. This is because multiplying or dividing both sides of an equation by the same non-zero number does not change the equality of the equation.
Here’s why:
Multiplication: If you multiply both sides of the equation by the same non-zero number, the equality is maintained. For example, if the equation is x=3, multiplying both sides by 2 gives 2x=6, which still has the solution x = 3.
Division: Similarly, if you divide both sides of the equation by the same non-zero number, the equality holds. For example, if the equation is 2x=6, dividing both sides by 2 gives x=3.
Conclusion:
The solution remains the same whether we multiply or divide both sides by a non-zero number. The correct answer is (b) remains the same.
This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
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