SOLUTION: give an counterexample for the foolowing statement: if the graphs of the equations of a linear system have the same slope, then the linear system has no solution

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: give an counterexample for the foolowing statement: if the graphs of the equations of a linear system have the same slope, then the linear system has no solution      Log On


   

Question 551000: give an counterexample for the foolowing statement: if the graphs of the equations of a linear system have the same slope, then the linear system has no solution
Answer by Edwin McCravy(20086) About Me  (Show Source):
You can put this solution on YOUR website!
This is when the system is dependent and there are infinitely 
many solutions.  The lines coincide.

example:

system%28y+=+2x%2B1%2C+2y+=+4x%2B2%29

Both have slope 2, but there are infinitely many solutions
because the lines coincide at all points, and therefore have all
points in common.

Edwin