Class 10 Exam > Class 10 Questions > The value of k for which the system of linear...
Start Learning for Free
The value of k for which the system of linear equation x 2y=3,5x ky 7= 0 is inconsistent is?
Verified Answer
The value of k for which the system of linear equation x 2y=3,5x ky 7=...
The given system is
x + 2y – 3 = 0 ……(i)
5x + ky + 7 = 0 ……(ii)
Here, a1 = 1, b1 = 2, c1 = -3, a2 = 5, b2 = k and c2 = 7.
For the system, to be consistent, we must have
=> a1/a2 = b1/b2 ≠ c1/c2
=> 1/5 = 2/k ≠ -3/7
=> 1/5 = 2/k
=> k = 10
Hence, k = 10.
Your question is wrong, it should be:
Find the value of k for which the system of equations x + 2y – 3 = 0 and 5x + ky + 7 = 0 is inconsistent.
x + 2y – 3 = 0 ……(i)
5x + ky + 7 = 0 ……(ii)
Here, a1 = 1, b1 = 2, c1 = -3, a2 = 5, b2 = k and c2 = 7.
For the system, to be consistent, we must have
=> a1/a2 = b1/b2 ≠ c1/c2
=> 1/5 = 2/k ≠ -3/7
=> 1/5 = 2/k
=> k = 10
Hence, k = 10.
Your question is wrong, it should be:
Find the value of k for which the system of equations x + 2y – 3 = 0 and 5x + ky + 7 = 0 is inconsistent.
This question is part of UPSC exam. View all Class 10 courses
Most Upvoted Answer
The value of k for which the system of linear equation x 2y=3,5x ky 7=...
Solution:
Given system of linear equation:
x + 2y = 3 ...(1)
5x + ky + 7 = 0 ...(2)
For the system to be inconsistent, the given equations must be parallel.
We can write equation (1) in slope-intercept form as:
y = -x/2 + 3/2
Comparing equation (2) with the slope-intercept form y = mx + b, we get:
m = 5 and b = ky/(-7)
For the system to be inconsistent, the slope of equation (2) should be -1/2 (same as equation (1)).
So, we have:
5 = -1/2
ky/(-7) = 3/2
Clearly, the first equation has no solution.
The second equation gives:
ky = -21/2
Therefore, the value of k for which the system of linear equation is inconsistent is k = -21/10.
Hence, the solution is as follows:
Answer: The value of k for which the system of linear equation x + 2y = 3 and 5x + ky + 7 = 0 is inconsistent is k = -21/10.
Given system of linear equation:
x + 2y = 3 ...(1)
5x + ky + 7 = 0 ...(2)
For the system to be inconsistent, the given equations must be parallel.
We can write equation (1) in slope-intercept form as:
y = -x/2 + 3/2
Comparing equation (2) with the slope-intercept form y = mx + b, we get:
m = 5 and b = ky/(-7)
For the system to be inconsistent, the slope of equation (2) should be -1/2 (same as equation (1)).
So, we have:
5 = -1/2
ky/(-7) = 3/2
Clearly, the first equation has no solution.
The second equation gives:
ky = -21/2
Therefore, the value of k for which the system of linear equation is inconsistent is k = -21/10.
Hence, the solution is as follows:
Answer: The value of k for which the system of linear equation x + 2y = 3 and 5x + ky + 7 = 0 is inconsistent is k = -21/10.
|
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
The value of k for which the system of linear equation x 2y=3,5x ky 7= 0 is inconsistent is?
Question Description
The value of k for which the system of linear equation x 2y=3,5x ky 7= 0 is inconsistent is? 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 The value of k for which the system of linear equation x 2y=3,5x ky 7= 0 is inconsistent is? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of k for which the system of linear equation x 2y=3,5x ky 7= 0 is inconsistent is?.
The value of k for which the system of linear equation x 2y=3,5x ky 7= 0 is inconsistent is? 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 The value of k for which the system of linear equation x 2y=3,5x ky 7= 0 is inconsistent is? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of k for which the system of linear equation x 2y=3,5x ky 7= 0 is inconsistent is?.
Solutions for The value of k for which the system of linear equation x 2y=3,5x ky 7= 0 is inconsistent is? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of The value of k for which the system of linear equation x 2y=3,5x ky 7= 0 is inconsistent is? defined & explained in the simplest way possible. Besides giving the explanation of
The value of k for which the system of linear equation x 2y=3,5x ky 7= 0 is inconsistent is?, a detailed solution for The value of k for which the system of linear equation x 2y=3,5x ky 7= 0 is inconsistent is? has been provided alongside types of The value of k for which the system of linear equation x 2y=3,5x ky 7= 0 is inconsistent is? theory, EduRev gives you an
ample number of questions to practice The value of k for which the system of linear equation x 2y=3,5x ky 7= 0 is inconsistent is? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 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