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      Question

      The graphs of two linear equations, x + 2y = 15 and 4x +

      8y = 13 will be :
      A parallel Correct Answer Incorrect Answer
      B coincident Correct Answer Incorrect Answer
      C intersecting at one point Correct Answer Incorrect Answer
      D intersecting at two points Correct Answer Incorrect Answer

      Solution

      x + 2y = 15 β†’ y = βˆ’0.5x + 7.5 4x + 8y = 13 β†’ divide by 4 β†’ x + 2y = 13/4 β†’ y = βˆ’0.5x + 13/8 Same slope, different intercepts β†’ parallel lines (no solution).

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