On the TI-83
put one equation in Y1 and the other in Y2
press graph (look for an intersection to appear in this window)
if you see it proceed to press 2nd trace 5 enter enter enter answer will be at
the bottom of the screen X= Y=
if you don't see it adjust you window by pressing the window key change
Xmin, Xmax, Ymin, Ymax to get a bigger window...graph (do you see an
intersection?) press 2nd trace 5 enter enter enter
be sure to check slopes if they are equal no solution will be found between the two lines