Respuesta :

A linear equation represents a straight line.Thus, the solution of the system of linear equation depends on whether the lines intersect, not intersect or same line.

We have below cases:-

  • The lines are non parallel and intersect at exactly one point. In this case we have one solution.
  • The lines are parallel and hence never intersect. There is no solution in this case.
  • The two lines represents the same line. Hence, infinitely many solutions.

We never got exactly two solutions because two lines can intersect at a single point.

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