Linear Equations System Concepts

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Questions and Answers

In the context of pair of linear equations, what does it mean if the system has no solution?

  • The two lines intersect at multiple points
  • The two lines are parallel (correct)
  • The two lines intersect at a single point
  • The two lines are coincident

What is the relationship between the slopes of two perpendicular lines in the context of linear equations?

  • The slopes are equal
  • The slopes are both positive
  • The slopes are negative reciprocals (correct)
  • The slopes are both negative

When solving a system of linear equations, what does it mean if the resulting lines overlap?

  • The system is inconsistent
  • The system has no solution
  • The system has infinitely many solutions (correct)
  • The system has one unique solution

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