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Question

If the equations in a system of two linear equations in two variables are graphed, each graph will be a line. Which of the following System of Linear equations will have only one solution ?


  1. Parallel lines
  2. Coincidental lines
  3. Intersecting lines
  4. All of the above


Solution

The correct option is C Intersecting lines
There are three possibilities: 
1. The lines intersect in one point. In this case, the system has a unique solution. 
2. The lines are parallel. In this case, the system has no solution. 
3. The lines are identical or Coincidental. In this case, every point on the line is a solution, and so the system has infinitely many solutions. 

Therefore the system of equations describe intersecting lines. The answer is option C

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