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How many values of c, for which the system of equations 6x + 3y = c – 3, 12x + cy = c has infinitely many solutions?
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    Infinite
Correct answer is option 'A'. Can you explain this answer?
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How many values of c, for which the system of equations6x + 3y = c &nd...
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Community Answer
How many values of c, for which the system of equations6x + 3y = c &nd...
Given equations are
6x + 3y = c – 3 and 12x + cy = c
For infinitely many solutions, 
Taking first two members, we have 
Thus, only one value of c exists.
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