The solution of a linear equation in two variables is
Unlock the concepts of Linear Equations in Two Variables with this comprehensive NCERT solution guide for Class 9th Mathematics, focusing on Chapter 4. This resource offers step-by-step solutions to MCQ-based questions and short answer exercises, covering essential methods like substitution, elimination and graphical approaches. The clear explanations help students strengthen their understanding of linear equations, allowing them to solve problems with ease. Ideal for exam preparation, this guide builds problem-solving skills and ensures a deeper grasp of the subject to help students perform confidently in assessments.
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The solution of a linear equation in two variables is an ordered pair (x,y) that satisfies the equation when the values of x and y are substituted into the equation.
Explanation:
A linear equation in two variables typically has the form ax+by=c, where a, b, and c are constants, and x and y are the variables. The solution is the set of values x and y (an ordered pair) that, when substituted into the equation, make the equation true.
Option (a): a number which satisfies the given equation
This is not correct because the solution is not just a single number but an ordered pair of numbers. So, (a) is incorrect.
Option (b): an ordered pair which satisfies the given equation
This is partially correct, but it’s a bit incomplete because it doesn’t clarify that the ordered pair is specific to the equation and needs to satisfy the equation. (b) is incomplete.
Option (c): an ordered pair, whose respective values when substituted for x and y in the given equation, satisfies it
This is the most accurate description. The solution is indeed an ordered pair, and when the values of x and y are substituted into the equation, the equation must be satisfied. (c) is correct.
Option (d): none of these
Since option (c) is correct, this option is incorrect. (d) is incorrect.
Conclusion: The correct answer is (c) an ordered pair, whose respective values when substituted for x and y in the given equation, satisfies it.
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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