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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?
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.
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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.
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