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      Question

      If 0.4x + 0.16y = 1.7 and 0.3x + 0.12y = 3.4, then which

      of the following is correct?
      A The system has finitely many solutions but not unique. Correct Answer Incorrect Answer
      B The system has infinitely many solutions. Correct Answer Incorrect Answer
      C The system has no solution. Correct Answer Incorrect Answer
      D The system has unique solution. Correct Answer Incorrect Answer

      Solution

      Given:
      1) 0.4x + 0.16y = 1.7
      2) 0.3x + 0.12y = 3.4 Multiply (1) by 3:
      1.2x + 0.48y = 5.1 Multiply (2) by 4:
      1.2x + 0.48y = 13.6 Now subtract the two:
      0 = 13.6 - 5.1
      0 = 8.5 → Contradiction No solution. The system is inconsistent.

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