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      Question

      For given pair of equations, how many solutions are

      possible? 5x − 2y = 12 and 10x − 4y = 24
      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, infinite solutions are possible when (a1/a2) = (b1/b2) = (c1/c2) In the given pair of equations, a1 = 5, a2 = 10, b1 = −2, b2 = −4, c1 = −12 and c2 = −24 Since, (5/10) = (−2/−4) = (−12/−24), therefore, infinite solutions are possible.

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