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      Question

      If 6x - 3y = 9, and 9xy = 18, then what is the value of 6x

      + 3y?
      A 22 Correct Answer Incorrect Answer
      B 15 Correct Answer Incorrect Answer
      C 19 Correct Answer Incorrect Answer
      D 31 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Given: 6x - 3y = 9

      And 9xy = 18

      Or, xy = 2

      We know that, (a + b)² = a² + b² + 2ab

      And (a - b)² = a² + b² - 2ab

      Or, (a + b)² - (a - b)² = 4ab

      So, (6x + 3y)² - (6x - 3y)² = 4 × 6x × 3y

      Or, (6x + 3y)² - 9² = 144

      Or, (6x + 3y)² = 225

      So, 6x + 3y = ±15

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