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The pair of equations 5x – 15y = 8 and 3x - 9y = 24/5 has
- a)no solution
- b)one solution
- c)infinitely many solutions
- d)two solutions
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The pair of equations 5x – 15y = 8 and3x - 9y = 24/5 hasa)no sol...
Given: a1 = 5,a2 = 3,b1 = −15,b2 = −9,c1 = 8 and 
Therefore, the the pair of given linear equations has infinitely many solutions.
Therefore, the the pair of given linear equations has infinitely many solutions.
Most Upvoted Answer
The pair of equations 5x – 15y = 8 and3x - 9y = 24/5 hasa)no sol...
Explanation:
Given Equations:
- 5x - 15y = 8
- 3x - 9y = 24/5
Infinitely Many Solutions:
When two equations are linearly dependent or represent the same line, they have infinitely many solutions. In this case, if we observe both equations carefully, we can see that the second equation is a multiple of the first equation.
Relation between Equations:
- If we multiply the first equation by 3/5, we get 3x - 9y = 24/5, which is the second equation.
- This shows that the two equations are actually representing the same line, meaning they have infinitely many solutions.
Conclusion:
Since the given pair of equations represent the same line, they have infinitely many solutions. Therefore, the correct answer is option C) infinitely many solutions.
Given Equations:
- 5x - 15y = 8
- 3x - 9y = 24/5
Infinitely Many Solutions:
When two equations are linearly dependent or represent the same line, they have infinitely many solutions. In this case, if we observe both equations carefully, we can see that the second equation is a multiple of the first equation.
Relation between Equations:
- If we multiply the first equation by 3/5, we get 3x - 9y = 24/5, which is the second equation.
- This shows that the two equations are actually representing the same line, meaning they have infinitely many solutions.
Conclusion:
Since the given pair of equations represent the same line, they have infinitely many solutions. Therefore, the correct answer is option C) infinitely many solutions.
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The pair of equations 5x – 15y = 8 and3x - 9y = 24/5 hasa)no solutionb)one solutionc)infinitely many solutionsd)two solutionsCorrect answer is option 'C'. Can you explain this answer?
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The pair of equations 5x – 15y = 8 and3x - 9y = 24/5 hasa)no solutionb)one solutionc)infinitely many solutionsd)two solutionsCorrect 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 equations 5x – 15y = 8 and3x - 9y = 24/5 hasa)no solutionb)one solutionc)infinitely many solutionsd)two solutionsCorrect 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 equations 5x – 15y = 8 and3x - 9y = 24/5 hasa)no solutionb)one solutionc)infinitely many solutionsd)two solutionsCorrect answer is option 'C'. Can you explain this answer?.
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