Class 10 Exam > Class 10 Questions > The pair of linear equations 2x + 3y = 5 and ...
Start Learning for Free
The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 is
- a)inconsistent
- b)consistent
- c)dependent consistent
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 isa)inconsis...
Solution:
We are given two linear equations as:
2x + 3y = 5 ...(i)
4x + 6y = 10 ...(ii)
We need to find whether these equations are consistent, inconsistent or dependent.
Method 1: By Graphical Method
We can plot the graph for these equations and check their intersection point.
The graph of equation (i) is a straight line passing through (0, 5/3) and (5/2, 0).
The graph of equation (ii) is a straight line passing through (0, 5/3) and (5/2, 0).
As we can see, both the lines are identical, i.e. they coincide with each other. Hence, the equations are dependent consistent.
Method 2: By Elimination Method
We can eliminate one variable from the given equations and check the value of other variable.
Multiplying equation (i) by 2, we get:
4x + 6y = 10 ...(iii)
Comparing equations (ii) and (iii), we can see that they are identical. This means that one equation is a multiple of the other equation. Hence, the equations are dependent consistent.
Therefore, the correct answer is option (C) dependent consistent.
We are given two linear equations as:
2x + 3y = 5 ...(i)
4x + 6y = 10 ...(ii)
We need to find whether these equations are consistent, inconsistent or dependent.
Method 1: By Graphical Method
We can plot the graph for these equations and check their intersection point.
The graph of equation (i) is a straight line passing through (0, 5/3) and (5/2, 0).
The graph of equation (ii) is a straight line passing through (0, 5/3) and (5/2, 0).
As we can see, both the lines are identical, i.e. they coincide with each other. Hence, the equations are dependent consistent.
Method 2: By Elimination Method
We can eliminate one variable from the given equations and check the value of other variable.
Multiplying equation (i) by 2, we get:
4x + 6y = 10 ...(iii)
Comparing equations (ii) and (iii), we can see that they are identical. This means that one equation is a multiple of the other equation. Hence, the equations are dependent consistent.
Therefore, the correct answer is option (C) dependent consistent.
Community Answer
The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 isa)inconsis...
Important Definitions & Formulas: Pair of Linear Equations in Two Variables:
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
The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 isa)inconsistentb)consistentc)dependent consistentd)none of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 isa)inconsistentb)consistentc)dependent consistentd)none of theseCorrect answer is option 'C'. 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 The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 isa)inconsistentb)consistentc)dependent consistentd)none of theseCorrect answer is option 'C'. 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 The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 isa)inconsistentb)consistentc)dependent consistentd)none of theseCorrect answer is option 'C'. Can you explain this answer?.
The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 isa)inconsistentb)consistentc)dependent consistentd)none of theseCorrect answer is option 'C'. 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 The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 isa)inconsistentb)consistentc)dependent consistentd)none of theseCorrect answer is option 'C'. 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 The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 isa)inconsistentb)consistentc)dependent consistentd)none of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 isa)inconsistentb)consistentc)dependent consistentd)none of theseCorrect answer is option 'C'. 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 The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 isa)inconsistentb)consistentc)dependent consistentd)none of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 isa)inconsistentb)consistentc)dependent consistentd)none of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 isa)inconsistentb)consistentc)dependent consistentd)none of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 isa)inconsistentb)consistentc)dependent consistentd)none of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 isa)inconsistentb)consistentc)dependent consistentd)none of theseCorrect answer is option 'C'. 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