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For what value of n would the following system of equations have an infinite number of solutions?
3α + b = 12
12α + 4b = 3n
  • a)
    4
  • b)
    9
  • c)
    16
  • d)
    36
  • e)
    48
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
For what value of n would the following system of equations have an in...
The correct answer is c. Systems of equations have an infinite number of solutions when the equations are equivalent. In order for the two equations to be equivalent, the constants and coefficients must be proportional. If the entire equation 3α + b = 12 is multiplied by 4, the result is 4(3α + b) = 4(12), or 12α + 4b = 48. Thus in order for the two equations to be equivalent, 3n = 48, or n = 16.
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For what value of n would the following system of equations have an infinite number of solutions?3α + b = 1212α + 4b = 3na)4b)9c)16d)36e)48Correct answer is option 'C'. Can you explain this answer?
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