ACT Exam > ACT Questions > For what value ofλ, do the simultaneou...
Start Learning for Free
For what value of λ, do the simultaneous equation 2x + 3y = 1, 4x + 6y = λ have infinite solutions?
- a)λ = 0
- b)λ = 1
- c)λ ≠ 2
- d)λ = 2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4...
Concept:
Non-homogeneous equation of type AX = B has infinite solutions;
if ρ(A | B) = ρ(A) < Number of unknowns
Calculation:
Given:
2x + 3y = 1
4x + 6y = λ
The augmented matrix is given by:
For the system to have infinite solutions, the last row must be a fully zero row.
So if λ = 2 then the system of equations has infinitely many solutions.
Key Points:
Remember the system of equations
AX = B have
1. Unique solution, if ρ(A : B) = ρ(A) = Number of unknowns.
2. Infinite many solutions, if ρ(A : B) = ρ(A) < Number of solutions
3. No solution, if ρ(A : B) ≠ ρ(A).
Most Upvoted Answer
For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4...
Concept:
Non-homogeneous equation of type AX = B has infinite solutions;
if ρ(A | B) = ρ(A) < Number of unknowns
Calculation:
Given:
2x + 3y = 1
4x + 6y = λ
The augmented matrix is given by:
For the system to have infinite solutions, the last row must be a fully zero row.
So if λ = 2 then the system of equations has infinitely many solutions.
Key Points:
Remember the system of equations
AX = B have
1. Unique solution, if ρ(A : B) = ρ(A) = Number of unknowns.
2. Infinite many solutions, if ρ(A : B) = ρ(A) < Number of solutions
3. No solution, if ρ(A : B) ≠ ρ(A).
Free Test
FREE
| Start Free Test |
Community Answer
For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4...
X does the equation 2x + 5 = 13 hold true?
|
Explore Courses for ACT exam
|
|
Similar ACT Doubts
Top Courses for ACTView all
For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4x + 6y =λ have infinite solutions?a)λ = 0b)λ = 1c)λ≠ 2d)λ = 2Correct answer is option 'D'. Can you explain this answer?
Question Description
For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4x + 6y =λ have infinite solutions?a)λ = 0b)λ = 1c)λ≠ 2d)λ = 2Correct answer is option 'D'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4x + 6y =λ have infinite solutions?a)λ = 0b)λ = 1c)λ≠ 2d)λ = 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4x + 6y =λ have infinite solutions?a)λ = 0b)λ = 1c)λ≠ 2d)λ = 2Correct answer is option 'D'. Can you explain this answer?.
For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4x + 6y =λ have infinite solutions?a)λ = 0b)λ = 1c)λ≠ 2d)λ = 2Correct answer is option 'D'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4x + 6y =λ have infinite solutions?a)λ = 0b)λ = 1c)λ≠ 2d)λ = 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4x + 6y =λ have infinite solutions?a)λ = 0b)λ = 1c)λ≠ 2d)λ = 2Correct answer is option 'D'. Can you explain this answer?.
Solutions for For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4x + 6y =λ have infinite solutions?a)λ = 0b)λ = 1c)λ≠ 2d)λ = 2Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for ACT.
Download more important topics, notes, lectures and mock test series for ACT Exam by signing up for free.
Here you can find the meaning of For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4x + 6y =λ have infinite solutions?a)λ = 0b)λ = 1c)λ≠ 2d)λ = 2Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4x + 6y =λ have infinite solutions?a)λ = 0b)λ = 1c)λ≠ 2d)λ = 2Correct answer is option 'D'. Can you explain this answer?, a detailed solution for For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4x + 6y =λ have infinite solutions?a)λ = 0b)λ = 1c)λ≠ 2d)λ = 2Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4x + 6y =λ have infinite solutions?a)λ = 0b)λ = 1c)λ≠ 2d)λ = 2Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4x + 6y =λ have infinite solutions?a)λ = 0b)λ = 1c)λ≠ 2d)λ = 2Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice ACT tests.
|
|
Explore Courses for ACT 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