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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): The solution of the pair of linear equations x + y = 5 and 2x – 3y = 4 is x = 19/5 and y = 6/5.
Reason (R): The solution of the pair of linear equations 3x + 4y = 10 and 2x – 2y = 2 is x = 2 and y = 1.
- a)Both A and R are true and R is the correct explanation of A
- b)Both A and R are true but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false and R is True
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Directions: In the following questions, A statement of Assertion (A) ...
In case of assertion
By elimination method,
x + y = 5 ...(i)
2x – 3y = 4 ...(ii)
Multiplying equation (i) by (ii), we obtain
2x + 2y = 10 ...(iii)
Subtracting equation (ii) from equation (iii), we obtain
5y = 6
y = 6/5 …(iv)
Substituting the value in equation (i), we obtain
∴ x = 19/5 , y = 6/5
∴ Assertion is correct.
In case of reason:
By elimination method,
3x + 4y = 10 ...(i)
2x – 2y = 2 ...(ii)
Multiplying equation (ii) by 2, we obtain
4x – 4y = 4 ...(iii)
Adding equations (i) and (iii), we obtain
7x = 14
x = 2 ...(iv)
Substituting in equation (i), we obtain
6 + 4y = 10
4y = 4
y = 1
Hence, x = 2, y = 1
∴ Reason is correct.
Hence, both assertion and reason are correct but reason is not the correct explanation for assertion.
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Community Answer
Directions: In the following questions, A statement of Assertion (A) ...
Assertion (A): The solution of the pair of linear equations x - y = 5 and 2x – 3y = 4 is x = 19/5 and y = 6/5.
Reason (R): The solution of the pair of linear equations 3x - 4y = 10 and 2x – 2y = 2 is x = 2 and y = 1.
To solve this problem, we need to solve both pairs of linear equations and check if the given solutions are correct or not.
Solution:
Step 1: Solve the first pair of linear equations:
x - y = 5 ----(1)
2x – 3y = 4 ----(2)
Multiplying equation (1) by 2, we get:
2x - 2y = 10 ----(3)
Subtracting equation (3) from equation (2), we get:
(2x - 3y) - (2x - 2y) = 4 - 10
2x - 3y - 2x + 2y = -6
-y = -6
y = 6
Substituting the value of y in equation (1), we get:
x - 6 = 5
x = 5 + 6
x = 11
So, the solution of the first pair of linear equations is x = 11 and y = 6.
Step 2: Solve the second pair of linear equations:
3x - 4y = 10 ----(4)
2x – 2y = 2 ----(5)
Multiplying equation (5) by 3, we get:
6x - 6y = 6 ----(6)
Subtracting equation (6) from equation (4), we get:
(3x - 4y) - (6x - 6y) = 10 - 6
3x - 4y - 6x + 6y = 4
-3x + 2y = 4
This equation does not match the given equation in the Reason (R). Therefore, the Reason (R) is incorrect.
Hence, the correct choice is option 'B' - Both A and R are true but R is NOT the correct explanation of A.
Reason (R): The solution of the pair of linear equations 3x - 4y = 10 and 2x – 2y = 2 is x = 2 and y = 1.
To solve this problem, we need to solve both pairs of linear equations and check if the given solutions are correct or not.
Solution:
Step 1: Solve the first pair of linear equations:
x - y = 5 ----(1)
2x – 3y = 4 ----(2)
Multiplying equation (1) by 2, we get:
2x - 2y = 10 ----(3)
Subtracting equation (3) from equation (2), we get:
(2x - 3y) - (2x - 2y) = 4 - 10
2x - 3y - 2x + 2y = -6
-y = -6
y = 6
Substituting the value of y in equation (1), we get:
x - 6 = 5
x = 5 + 6
x = 11
So, the solution of the first pair of linear equations is x = 11 and y = 6.
Step 2: Solve the second pair of linear equations:
3x - 4y = 10 ----(4)
2x – 2y = 2 ----(5)
Multiplying equation (5) by 3, we get:
6x - 6y = 6 ----(6)
Subtracting equation (6) from equation (4), we get:
(3x - 4y) - (6x - 6y) = 10 - 6
3x - 4y - 6x + 6y = 4
-3x + 2y = 4
This equation does not match the given equation in the Reason (R). Therefore, the Reason (R) is incorrect.
Hence, the correct choice is option 'B' - Both A and R are true but R is NOT the correct explanation of A.
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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The solution of the pair of linear equations x + y = 5 and 2x – 3y = 4 is x = 19/5 and y = 6/5.Reason (R): The solution of the pair of linear equations 3x + 4y = 10 and 2x – 2y = 2 is x = 2 and y = 1.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The solution of the pair of linear equations x + y = 5 and 2x – 3y = 4 is x = 19/5 and y = 6/5.Reason (R): The solution of the pair of linear equations 3x + 4y = 10 and 2x – 2y = 2 is x = 2 and y = 1.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The solution of the pair of linear equations x + y = 5 and 2x – 3y = 4 is x = 19/5 and y = 6/5.Reason (R): The solution of the pair of linear equations 3x + 4y = 10 and 2x – 2y = 2 is x = 2 and y = 1.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer?.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The solution of the pair of linear equations x + y = 5 and 2x – 3y = 4 is x = 19/5 and y = 6/5.Reason (R): The solution of the pair of linear equations 3x + 4y = 10 and 2x – 2y = 2 is x = 2 and y = 1.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The solution of the pair of linear equations x + y = 5 and 2x – 3y = 4 is x = 19/5 and y = 6/5.Reason (R): The solution of the pair of linear equations 3x + 4y = 10 and 2x – 2y = 2 is x = 2 and y = 1.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The solution of the pair of linear equations x + y = 5 and 2x – 3y = 4 is x = 19/5 and y = 6/5.Reason (R): The solution of the pair of linear equations 3x + 4y = 10 and 2x – 2y = 2 is x = 2 and y = 1.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The solution of the pair of linear equations x + y = 5 and 2x – 3y = 4 is x = 19/5 and y = 6/5.Reason (R): The solution of the pair of linear equations 3x + 4y = 10 and 2x – 2y = 2 is x = 2 and y = 1.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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Here you can find the meaning of Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The solution of the pair of linear equations x + y = 5 and 2x – 3y = 4 is x = 19/5 and y = 6/5.Reason (R): The solution of the pair of linear equations 3x + 4y = 10 and 2x – 2y = 2 is x = 2 and y = 1.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The solution of the pair of linear equations x + y = 5 and 2x – 3y = 4 is x = 19/5 and y = 6/5.Reason (R): The solution of the pair of linear equations 3x + 4y = 10 and 2x – 2y = 2 is x = 2 and y = 1.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The solution of the pair of linear equations x + y = 5 and 2x – 3y = 4 is x = 19/5 and y = 6/5.Reason (R): The solution of the pair of linear equations 3x + 4y = 10 and 2x – 2y = 2 is x = 2 and y = 1.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The solution of the pair of linear equations x + y = 5 and 2x – 3y = 4 is x = 19/5 and y = 6/5.Reason (R): The solution of the pair of linear equations 3x + 4y = 10 and 2x – 2y = 2 is x = 2 and y = 1.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The solution of the pair of linear equations x + y = 5 and 2x – 3y = 4 is x = 19/5 and y = 6/5.Reason (R): The solution of the pair of linear equations 3x + 4y = 10 and 2x – 2y = 2 is x = 2 and y = 1.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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