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      Question

      If x + y = 9 and 3x + 2y = 20, then x2 +

      y2 equals:
      A 23 Correct Answer Incorrect Answer
      B 53 Correct Answer Incorrect Answer
      C 37 Correct Answer Incorrect Answer
      D 45 Correct Answer Incorrect Answer

      Solution

      From x + y = 9 ⇒ y = 9 − x 3x + 2(9 − x) = 20 3x + 18 − 2x = 20 ⇒ x = 2 y = 7 x^2 + y^2 = 4 + 49 = 53

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