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      Question

      Solve the system: 3x + 2y = 16 4x − y

      = 9
      A x = 34/11, y = 37/11 Correct Answer Incorrect Answer
      B x = 34/11, y = 17/11 Correct Answer Incorrect Answer
      C x = 74/21, y = 17/11 Correct Answer Incorrect Answer
      D x = 31/11, y = 30/11 Correct Answer Incorrect Answer

      Solution

      From second equation: 4x − y = 9 → y = 4x − 9 Substitute into first: 3x + 2(4x − 9) = 16 3x + 8x − 18 = 16 11x − 18 = 16 11x = 34 x = 34/11 Then y = 4x − 9 = 4(34/11) − 9 = 136/11 − 99/11 = 37/11 Answer: x = 34/11, y = 37/11.

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