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    Question

    For given pair of equations, how many solutions are

    possible? 2x + 3y = 10 and 4x + 5y = 18
    B 1 Correct Answer Incorrect Answer
    C infinite Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    For a pair of linear equations a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0, only one solution is possible when (a1/a2) ≠ (b1/b2) In the given pair of equations, a1 = 2, a2 = 4, b1 = 3 and b2 = 5 Since, (2/4) ≠ (3/5), therefore, only one solution is possible.

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