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The value of k for which the system of linear equation x 2y=3,5x ky 7= 0 is inconsistent is?
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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.
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The value of k for which the system of linear equation x 2y=3,5x ky 7= 0 is inconsistent is?
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The value of k for which the system of linear equation x 2y=3,5x ky 7= 0 is inconsistent is? for Class 10 2024 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 2024 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 2024 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 2024 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?.
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