UPSC Exam > UPSC Questions > 2x + 3 Y - 9 - 0 and Forex+ 6y minus 18 minus...
Start Learning for Free
2x + 3 Y - 9 - 0 and Forex+ 6y minus 18 minus zero this pair of linear equation have – solution?
Most Upvoted Answer
2x + 3 Y - 9 - 0 and Forex+ 6y minus 18 minus zero this pair of linear...
Explanation of Pair of Linear Equations
Given Equations:
- 2x + 3y - 9 = 0
- 4x + 6y - 18 = 0
Checking for Consistency:
To determine if the pair of linear equations has a solution, we need to check if they are consistent, inconsistent, or dependent.
Consistency:
- Two equations are consistent if they have a unique solution.
- Inconsistent if they have no solution.
- Dependent if they have infinitely many solutions.
Comparing Coefficients:
- By comparing the coefficients of x and y in both equations, we can see that they are multiples of each other.
- This implies that the two equations represent the same line.
Dependent Equations:
- Since the two equations are dependent, they have infinitely many solutions.
- In this case, any point on the line represented by the equations will satisfy both equations simultaneously.
Conclusion:
- The given pair of linear equations are dependent and have infinitely many solutions.
- The equations represent the same line in the xy-plane.
- Therefore, the solution set is the set of all points on the line represented by the equations.
Given Equations:
- 2x + 3y - 9 = 0
- 4x + 6y - 18 = 0
Checking for Consistency:
To determine if the pair of linear equations has a solution, we need to check if they are consistent, inconsistent, or dependent.
Consistency:
- Two equations are consistent if they have a unique solution.
- Inconsistent if they have no solution.
- Dependent if they have infinitely many solutions.
Comparing Coefficients:
- By comparing the coefficients of x and y in both equations, we can see that they are multiples of each other.
- This implies that the two equations represent the same line.
Dependent Equations:
- Since the two equations are dependent, they have infinitely many solutions.
- In this case, any point on the line represented by the equations will satisfy both equations simultaneously.
Conclusion:
- The given pair of linear equations are dependent and have infinitely many solutions.
- The equations represent the same line in the xy-plane.
- Therefore, the solution set is the set of all points on the line represented by the equations.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
2x + 3 Y - 9 - 0 and Forex+ 6y minus 18 minus zero this pair of linear equation have – solution?
Question Description
2x + 3 Y - 9 - 0 and Forex+ 6y minus 18 minus zero this pair of linear equation have – solution? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 2x + 3 Y - 9 - 0 and Forex+ 6y minus 18 minus zero this pair of linear equation have – solution? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2x + 3 Y - 9 - 0 and Forex+ 6y minus 18 minus zero this pair of linear equation have – solution?.
2x + 3 Y - 9 - 0 and Forex+ 6y minus 18 minus zero this pair of linear equation have – solution? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 2x + 3 Y - 9 - 0 and Forex+ 6y minus 18 minus zero this pair of linear equation have – solution? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2x + 3 Y - 9 - 0 and Forex+ 6y minus 18 minus zero this pair of linear equation have – solution?.
Solutions for 2x + 3 Y - 9 - 0 and Forex+ 6y minus 18 minus zero this pair of linear equation have – solution? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of 2x + 3 Y - 9 - 0 and Forex+ 6y minus 18 minus zero this pair of linear equation have – solution? defined & explained in the simplest way possible. Besides giving the explanation of
2x + 3 Y - 9 - 0 and Forex+ 6y minus 18 minus zero this pair of linear equation have – solution?, a detailed solution for 2x + 3 Y - 9 - 0 and Forex+ 6y minus 18 minus zero this pair of linear equation have – solution? has been provided alongside types of 2x + 3 Y - 9 - 0 and Forex+ 6y minus 18 minus zero this pair of linear equation have – solution? theory, EduRev gives you an
ample number of questions to practice 2x + 3 Y - 9 - 0 and Forex+ 6y minus 18 minus zero this pair of linear equation have – solution? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup