x | y
                 -------------
                    -6 | -1/6
                    -5 | -1/5
                    -4 | -1/4
                    -3 | -1/3 
                    -2 | -1/2
                    -1 | -1                  
                     0 | Undefined
                     1 | 1
                     2 | 1/2
                     3 | 1/3
                     4 | 1/4 
                     5 | 1/5
                     6 | 1/6
                     

If your trying to solve for x, set y=0 and solve for x

Now lets think of a value that x could be to make this equal zero. Well there is no such value in this problem, so there is no solution. To further prove it, notice how the graph never touches the x axis. This means that y cannot equal zero. I hope that helps.