Class 9 Exam > Class 9 Questions > Which of the following is a linear equation i...
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Which of the following is a linear equation in two variables?
- a)x + 5 = 8
- b)5x = y2+ 3
- c)2x – 5y = 0
- d)x2 = 5x + 3
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Which of the following is a linear equation in two variables?a)x + 5 =...
Understanding Linear Equations
A linear equation in two variables is an equation that can be written in the form Ax + By = C, where A, B, and C are constants, and x and y are the variables. The graph of a linear equation is a straight line.
Evaluating the Options
Let’s analyze each option to determine which one is a linear equation:
Conclusion
Based on the analysis, option C (2x - 5y = 0) is indeed the only linear equation in two variables among the given options. It satisfies the criteria of being expressible in the standard linear form, confirming it as the correct choice.
A linear equation in two variables is an equation that can be written in the form Ax + By = C, where A, B, and C are constants, and x and y are the variables. The graph of a linear equation is a straight line.
Evaluating the Options
Let’s analyze each option to determine which one is a linear equation:
- Option A: x + 5 = 8
- This can be simplified to x = 3. It is a linear equation but only in one variable (x).
- Option B: 5x = y^2 + 3
- This equation involves y squared (y^2), making it non-linear because it cannot be expressed in the standard form of a linear equation.
- Option C: 2x - 5y = 0
- This equation is already in the standard form of a linear equation (Ax + By = C) with A = 2, B = -5, and C = 0.
- Option D: x^2 = 5x + 3
- This equation contains x squared (x^2), which makes it a quadratic equation, thus it is non-linear.
Conclusion
Based on the analysis, option C (2x - 5y = 0) is indeed the only linear equation in two variables among the given options. It satisfies the criteria of being expressible in the standard linear form, confirming it as the correct choice.
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Community Answer
Which of the following is a linear equation in two variables?a)x + 5 =...
The correct answer is C: 2x – 5y = 0.
- A linear equation in two variables can be written in the form ( ax + by = c ), where ( a ), ( b ), and ( c ) are constants.
- Option C: ( 2x - 5y = 0 ) fits the form ( ax + by = c ), making it linear.
- A linear equation in two variables can be written in the form ( ax + by = c ), where ( a ), ( b ), and ( c ) are constants.
- Option C: ( 2x - 5y = 0 ) fits the form ( ax + by = c ), making it linear.
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Which of the following is a linear equation in two variables?a)x + 5 = 8b)5x=y2+3c)2x – 5y = 0d)x2=5x+3Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Which of the following is a linear equation in two variables?a)x + 5 = 8b)5x=y2+3c)2x – 5y = 0d)x2=5x+3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is a linear equation in two variables?a)x + 5 = 8b)5x=y2+3c)2x – 5y = 0d)x2=5x+3Correct answer is option 'C'. Can you explain this answer?.
Which of the following is a linear equation in two variables?a)x + 5 = 8b)5x=y2+3c)2x – 5y = 0d)x2=5x+3Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Which of the following is a linear equation in two variables?a)x + 5 = 8b)5x=y2+3c)2x – 5y = 0d)x2=5x+3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is a linear equation in two variables?a)x + 5 = 8b)5x=y2+3c)2x – 5y = 0d)x2=5x+3Correct answer is option 'C'. Can you explain this answer?.
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