Class 10 Exam > Class 10 Questions > Pair of linear equations x+2y+5 = 0 and 3x+6y...
Start Learning for Free
Pair of linear equations x+2y+5 = 0 and 3x+6y -1 = 0 have
- a)unique solution
- b)exactly two solutions
- c)infinitely many solutions
- d)no solution
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Pair of linear equations x+2y+5 = 0 and 3x+6y -1 = 0 havea)unique solu...
Given, .... x+2y+5 = 0 and 3x+6y-1= 0.....
Let a1 = 1, b1 =2, c1=5....a2=3, b2=6, c2= -1....
This pair of linear equation satisfies the formula : a1/a2 = b1/b2 ≠ c1/c2..... ie., 1/3= 1/3 ≠5/-1.....
And hence..... option D is the correct answer... because this equation has NO SOLUTION.....
Let a1 = 1, b1 =2, c1=5....a2=3, b2=6, c2= -1....
This pair of linear equation satisfies the formula : a1/a2 = b1/b2 ≠ c1/c2..... ie., 1/3= 1/3 ≠5/-1.....
And hence..... option D is the correct answer... because this equation has NO SOLUTION.....
Free Test
FREE
| Start Free Test |
Community Answer
Pair of linear equations x+2y+5 = 0 and 3x+6y -1 = 0 havea)unique solu...
To determine the solution to the given system of equations, let's analyze each equation separately and then combine them to find the solution.
Equation 1: x + 2y - 5 = 0
Equation 2: 3x + 6y - 1 = 0
Solving Equation 1:
Rearrange equation 1 in terms of x:
x = 5 - 2y
Solving Equation 2:
Rearrange equation 2 in terms of x:
3x = 1 - 6y
x = (1 - 6y)/3
x = (1/3) - 2y
Comparing the Equations:
Now, we can compare the two expressions for x:
x = 5 - 2y
x = (1/3) - 2y
Both expressions are equal to x, so we can equate them:
5 - 2y = (1/3) - 2y
Conclusion:
From the above equation, we can see that the variable y cancels out. This results in a contradiction: 5 is not equal to 1/3.
Hence, the system of equations is inconsistent and has no solution. Therefore, the correct answer is option 'D' - no solution.
Equation 1: x + 2y - 5 = 0
Equation 2: 3x + 6y - 1 = 0
Solving Equation 1:
Rearrange equation 1 in terms of x:
x = 5 - 2y
Solving Equation 2:
Rearrange equation 2 in terms of x:
3x = 1 - 6y
x = (1 - 6y)/3
x = (1/3) - 2y
Comparing the Equations:
Now, we can compare the two expressions for x:
x = 5 - 2y
x = (1/3) - 2y
Both expressions are equal to x, so we can equate them:
5 - 2y = (1/3) - 2y
Conclusion:
From the above equation, we can see that the variable y cancels out. This results in a contradiction: 5 is not equal to 1/3.
Hence, the system of equations is inconsistent and has no solution. Therefore, the correct answer is option 'D' - no solution.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Pair of linear equations x+2y+5 = 0 and 3x+6y -1 = 0 havea)unique solutionb)exactly two solutionsc)infinitely many solutionsd)no solutionCorrect answer is option 'D'. Can you explain this answer?
Question Description
Pair of linear equations x+2y+5 = 0 and 3x+6y -1 = 0 havea)unique solutionb)exactly two solutionsc)infinitely many solutionsd)no solutionCorrect answer is option 'D'. Can you explain this answer? 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 Pair of linear equations x+2y+5 = 0 and 3x+6y -1 = 0 havea)unique solutionb)exactly two solutionsc)infinitely many solutionsd)no solutionCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pair of linear equations x+2y+5 = 0 and 3x+6y -1 = 0 havea)unique solutionb)exactly two solutionsc)infinitely many solutionsd)no solutionCorrect answer is option 'D'. Can you explain this answer?.
Pair of linear equations x+2y+5 = 0 and 3x+6y -1 = 0 havea)unique solutionb)exactly two solutionsc)infinitely many solutionsd)no solutionCorrect answer is option 'D'. Can you explain this answer? 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 Pair of linear equations x+2y+5 = 0 and 3x+6y -1 = 0 havea)unique solutionb)exactly two solutionsc)infinitely many solutionsd)no solutionCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pair of linear equations x+2y+5 = 0 and 3x+6y -1 = 0 havea)unique solutionb)exactly two solutionsc)infinitely many solutionsd)no solutionCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Pair of linear equations x+2y+5 = 0 and 3x+6y -1 = 0 havea)unique solutionb)exactly two solutionsc)infinitely many solutionsd)no solutionCorrect answer is option 'D'. Can you explain this answer? 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 Pair of linear equations x+2y+5 = 0 and 3x+6y -1 = 0 havea)unique solutionb)exactly two solutionsc)infinitely many solutionsd)no solutionCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Pair of linear equations x+2y+5 = 0 and 3x+6y -1 = 0 havea)unique solutionb)exactly two solutionsc)infinitely many solutionsd)no solutionCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Pair of linear equations x+2y+5 = 0 and 3x+6y -1 = 0 havea)unique solutionb)exactly two solutionsc)infinitely many solutionsd)no solutionCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Pair of linear equations x+2y+5 = 0 and 3x+6y -1 = 0 havea)unique solutionb)exactly two solutionsc)infinitely many solutionsd)no solutionCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Pair of linear equations x+2y+5 = 0 and 3x+6y -1 = 0 havea)unique solutionb)exactly two solutionsc)infinitely many solutionsd)no solutionCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
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