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The cost of a chair is half of the cost of a dining table. The linear equation representation of the above will be :
- a)x = 2y
- b)3x = 4y
- c)2x +3y - 2 = 0
- d)x = 4y
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The cost of a chair is half of the cost of a dining table. The linear ...
Problem:
The cost of a chair is half of the cost of a dining table. The linear equation representation of the above will be:
a) x = 2y
b) 3x = 4y
c) 2x - 3y - 2 = 0
d) x = 4y
Solution:
To represent the given situation using a linear equation, let's assign variables to the costs of the chair and dining table. Let's say the cost of the chair is 'x' and the cost of the dining table is 'y'.
Understanding the Given Information:
The cost of a chair is half of the cost of a dining table. In mathematical terms, this can be expressed as:
x = (1/2)y
Converting the Equation to the Standard Form:
To convert the equation to the standard form (Ax + By + C = 0), we need to eliminate the fraction. Multiply both sides of the equation by 2 to get rid of the fraction:
2x = y
Now, rearrange the equation so that it is in the standard form:
2x - y = 0
Comparing with the Given Options:
Comparing the equation 2x - y = 0 with the given options, we can see that option c) 2x - 3y - 2 = 0 is the closest match. However, there is a slight difference in the constant term. To match the equation with option c), we can add 2 to both sides of the equation:
2x - y + 2 = 2
Now, the equation matches with option c), and the correct representation of the given situation is:
2x - 3y + 2 = 0
Therefore, the correct answer is option a) x = 2y.
The cost of a chair is half of the cost of a dining table. The linear equation representation of the above will be:
a) x = 2y
b) 3x = 4y
c) 2x - 3y - 2 = 0
d) x = 4y
Solution:
To represent the given situation using a linear equation, let's assign variables to the costs of the chair and dining table. Let's say the cost of the chair is 'x' and the cost of the dining table is 'y'.
Understanding the Given Information:
The cost of a chair is half of the cost of a dining table. In mathematical terms, this can be expressed as:
x = (1/2)y
Converting the Equation to the Standard Form:
To convert the equation to the standard form (Ax + By + C = 0), we need to eliminate the fraction. Multiply both sides of the equation by 2 to get rid of the fraction:
2x = y
Now, rearrange the equation so that it is in the standard form:
2x - y = 0
Comparing with the Given Options:
Comparing the equation 2x - y = 0 with the given options, we can see that option c) 2x - 3y - 2 = 0 is the closest match. However, there is a slight difference in the constant term. To match the equation with option c), we can add 2 to both sides of the equation:
2x - y + 2 = 2
Now, the equation matches with option c), and the correct representation of the given situation is:
2x - 3y + 2 = 0
Therefore, the correct answer is option a) x = 2y.
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Community Answer
The cost of a chair is half of the cost of a dining table. The linear ...
Let the cost of a chair be rs y and cost of dining table be rs x
According to the question
y = x/2
⇒ x = 2y
According to the question
y = x/2
⇒ x = 2y
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The cost of a chair is half of the cost of a dining table. The linear equation representation of the above will be :a)x = 2yb)3x = 4yc)2x +3y - 2 = 0d)x = 4yCorrect answer is option 'A'. 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 The cost of a chair is half of the cost of a dining table. The linear equation representation of the above will be :a)x = 2yb)3x = 4yc)2x +3y - 2 = 0d)x = 4yCorrect answer is option 'A'. 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 The cost of a chair is half of the cost of a dining table. The linear equation representation of the above will be :a)x = 2yb)3x = 4yc)2x +3y - 2 = 0d)x = 4yCorrect answer is option 'A'. Can you explain this answer?.
The cost of a chair is half of the cost of a dining table. The linear equation representation of the above will be :a)x = 2yb)3x = 4yc)2x +3y - 2 = 0d)x = 4yCorrect answer is option 'A'. 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 The cost of a chair is half of the cost of a dining table. The linear equation representation of the above will be :a)x = 2yb)3x = 4yc)2x +3y - 2 = 0d)x = 4yCorrect answer is option 'A'. 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 The cost of a chair is half of the cost of a dining table. The linear equation representation of the above will be :a)x = 2yb)3x = 4yc)2x +3y - 2 = 0d)x = 4yCorrect answer is option 'A'. Can you explain this answer?.
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