Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Find the value of x and y for the below given...
Start Learning for Free
Find the value of x and y for the below given simultaneous equations that has no solutions?
a + b + c = 18
2a + 4b + 6c = 12
2a + xc + 4b = y
- a)x ≠ 6 and y ≠ 12
- b)x = 6 and y = 12
- c)x ≠ 6 and y = 12
- d)x = 6 and y ≠ 12
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Find the value of x and y for the below given simultaneous equations t...
For given system of equations to have no solution, the determinant of the coefficient matrix should be equal to 0
1 × (4x−24) − 1 × (2x−12) + 1(8−8) = 0
1 × (4x−24) − 1 × (2x−12) + 1(8−8) = 0
2x − 12 = 0
∴ x = 6
Augmented matrix is given by
For given system of equations to have no solution, rank of augmented matrix should be greater than coefficient matrix
∴ y − 12 ≠ 0
∴ y ≠ 12
Augmented matrix is given by
For given system of equations to have no solution, rank of augmented matrix should be greater than coefficient matrix
∴ y − 12 ≠ 0
∴ y ≠ 12
Most Upvoted Answer
Find the value of x and y for the below given simultaneous equations t...
Explanation:
Given Equations:
a + b + c = 182
a + 4b + 6c = 122
a + xc + 4b = y
Analysis:
For the given simultaneous equations to have no solutions, the coefficients of the variables in the equations must be such that they lead to contradictory statements.
Identifying the Coefficients:
From the given equations, we can see that the coefficients of a are 1, 1, and 1 respectively.
The coefficients of b are 1, 4, and 4 respectively.
The coefficients of c are 1, 6, and x respectively.
Determining Conditions for No Solution:
For the equations to have no solution, the coefficients of the variables must not be able to be scaled or combined to create a consistent system of equations.
Calculating Values:
By analyzing the coefficients, we find that for x = 6 and y = 12, the equations become:
a + b + c = 182
a + 4b + 6c = 122
a + 6c + 4b = 12
Conclusion:
Since the coefficients lead to a contradictory system of equations, the given simultaneous equations have no solutions when x = 6 and y = 12. Therefore, the correct answer is option 'D', x = 6 and y ≠ 12.
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Top Courses for Computer Science Engineering (CSE)View all
Find the value of x and y for the below given simultaneous equations that has no solutions?a + b + c = 182a + 4b + 6c = 122a + xc + 4b = ya)x ≠ 6 and y ≠ 12b)x = 6 and y = 12c)x ≠ 6 and y = 12d)x = 6 and y ≠ 12Correct answer is option 'D'. Can you explain this answer?
Question Description
Find the value of x and y for the below given simultaneous equations that has no solutions?a + b + c = 182a + 4b + 6c = 122a + xc + 4b = ya)x ≠ 6 and y ≠ 12b)x = 6 and y = 12c)x ≠ 6 and y = 12d)x = 6 and y ≠ 12Correct answer is option 'D'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Find the value of x and y for the below given simultaneous equations that has no solutions?a + b + c = 182a + 4b + 6c = 122a + xc + 4b = ya)x ≠ 6 and y ≠ 12b)x = 6 and y = 12c)x ≠ 6 and y = 12d)x = 6 and y ≠ 12Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of x and y for the below given simultaneous equations that has no solutions?a + b + c = 182a + 4b + 6c = 122a + xc + 4b = ya)x ≠ 6 and y ≠ 12b)x = 6 and y = 12c)x ≠ 6 and y = 12d)x = 6 and y ≠ 12Correct answer is option 'D'. Can you explain this answer?.
Find the value of x and y for the below given simultaneous equations that has no solutions?a + b + c = 182a + 4b + 6c = 122a + xc + 4b = ya)x ≠ 6 and y ≠ 12b)x = 6 and y = 12c)x ≠ 6 and y = 12d)x = 6 and y ≠ 12Correct answer is option 'D'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Find the value of x and y for the below given simultaneous equations that has no solutions?a + b + c = 182a + 4b + 6c = 122a + xc + 4b = ya)x ≠ 6 and y ≠ 12b)x = 6 and y = 12c)x ≠ 6 and y = 12d)x = 6 and y ≠ 12Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of x and y for the below given simultaneous equations that has no solutions?a + b + c = 182a + 4b + 6c = 122a + xc + 4b = ya)x ≠ 6 and y ≠ 12b)x = 6 and y = 12c)x ≠ 6 and y = 12d)x = 6 and y ≠ 12Correct answer is option 'D'. Can you explain this answer?.
Solutions for Find the value of x and y for the below given simultaneous equations that has no solutions?a + b + c = 182a + 4b + 6c = 122a + xc + 4b = ya)x ≠ 6 and y ≠ 12b)x = 6 and y = 12c)x ≠ 6 and y = 12d)x = 6 and y ≠ 12Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE).
Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of Find the value of x and y for the below given simultaneous equations that has no solutions?a + b + c = 182a + 4b + 6c = 122a + xc + 4b = ya)x ≠ 6 and y ≠ 12b)x = 6 and y = 12c)x ≠ 6 and y = 12d)x = 6 and y ≠ 12Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Find the value of x and y for the below given simultaneous equations that has no solutions?a + b + c = 182a + 4b + 6c = 122a + xc + 4b = ya)x ≠ 6 and y ≠ 12b)x = 6 and y = 12c)x ≠ 6 and y = 12d)x = 6 and y ≠ 12Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Find the value of x and y for the below given simultaneous equations that has no solutions?a + b + c = 182a + 4b + 6c = 122a + xc + 4b = ya)x ≠ 6 and y ≠ 12b)x = 6 and y = 12c)x ≠ 6 and y = 12d)x = 6 and y ≠ 12Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Find the value of x and y for the below given simultaneous equations that has no solutions?a + b + c = 182a + 4b + 6c = 122a + xc + 4b = ya)x ≠ 6 and y ≠ 12b)x = 6 and y = 12c)x ≠ 6 and y = 12d)x = 6 and y ≠ 12Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Find the value of x and y for the below given simultaneous equations that has no solutions?a + b + c = 182a + 4b + 6c = 122a + xc + 4b = ya)x ≠ 6 and y ≠ 12b)x = 6 and y = 12c)x ≠ 6 and y = 12d)x = 6 and y ≠ 12Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
|
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup