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      Question

      Find the value of 'x' and 'y' in the following

      equation: 8x - 3y = 58 5x + 2y = 106
      A x = 14 and y = 18 Correct Answer Incorrect Answer
      B x = 20 and y = 24 Correct Answer Incorrect Answer
      C x = 10 and y = 14 Correct Answer Incorrect Answer
      D x = 20 and y = 14 Correct Answer Incorrect Answer

      Solution

      ATQ,

      8x - 3y = 58 ---------- (I)

      5x + 2y = 106 -------- (II)

      On solving, equation I - (8/5) X equation II,

      We get, 8x - 3y - (8/5) × (5x + 2y) = 58 - (8/5) × 106

      Or, 8x - 3y - 8x - (16/5)y = 58 - 848/5

      Or, (-3y - 16/5y) = (290 - 848)/5

      Or, (-15y - 16y)/5 = -558/5

      Or, -31y = -558

      Or, y = 18

      On putting value of 'y' in equation I,

      We get, 8x - 3 × 18 = 58

      Or, 8x - 54 = 58

      Or, 8x = 112

      Or, x = 14

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