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      Question

       If 3x + 4y = 18 and 2x - y = 1, then x2 +

      y2 is:
      A 16 Correct Answer Incorrect Answer
      B 13 Correct Answer Incorrect Answer
      C 17 Correct Answer Incorrect Answer
      D 21 Correct Answer Incorrect Answer

      Solution

      ATQ, From 2x - y = 1 y = 2x - 1 Substitute in 3x + 4y = 18: 3x + 4(2x - 1) = 18 3x + 8x - 4 = 18 11x = 22 x = 2 Then, y = 2(2) - 1 = 3 So, x2 + y2 = 22 + 32 = 4 + 9 = 13

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