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ISI2021-MMA: 3

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Consider the system of linear equations: $x + y + z = 5, \quad 2x + 2y + 3z = 4$. Then

  1. the system is inconsistent
  2. the system has a unique solution
  3. the system has infinitely many solutions
  4. none of the above is true
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Rank of(A) = Rank of(C)  =1 which is  less than(<) (Number of unknowns = 3)

hence , Infinitely many soln.
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