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

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(20056) (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:



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

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