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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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