Classify 6x-7y=18 14y-12x=-36 give the number of solutions

Answer 1

Notice that if you multiply the first equation

6x-7y=18

by negative two you get

-12x + 14y = -36.

Now, compare that to the second equation 14y-12x=-36 and see they're the same. That means these are the same line (or two overlapping lines). How many points are shared between two lines that lie on top of each other?

Answer 2