The solution of the equation x – 2y = 4 is:
Chapter 4 of Class 9th Mathematics, titled Linear Equations in Two Variables, focuses on understanding the concept of linear equations, which are equations of the form ax+by=c. This chapter covers topics such as graphical representation, finding solutions and solving linear equations with two variables. The exercises include multiple-choice questions (MCQs), short-answer questions and other problems to help students practice and strengthen their understanding. It is essential for students to grasp these concepts as they are foundational for higher mathematics and practical applications. NCERT solutions provide step-by-step explanations for better clarity and learning.
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To solve the equation x – 2y = 4, we will substitute the value of x and y from the given options and check which one satisfies the equation.
Checking the options:
Option (a): (0, 2) Substitute x = 0 and y = 2 into the equation:
0 -2(2) = 0 – 4 = -4
This does not satisfy the equation x – 2y = 4. So, (a) is incorrect.
Option (b): (4, 0)
Substitute x = 4 and y = 0 into the equation:
4 – 2(0) = 4 – 0 = 4
This satisfies the equation x – 2y = 4. So , (b) is correct.
Option (c): (2, 0)
Substitute x = 2 and y = 0 into the equation:
2−2(0)=2−0=2
This does not satisfy the equation x−2y=4. So, (c) is incorrect.
Conclusion:
The correct solution is (b) (4, 0).
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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