I am supposed to figure out if these are consistent or inconsistant ,but I am arriving at only one point for my answer, telling me this is constant but dependent am I doing something horribly wrong?

Question

I am supposed to figure out if these are consistent or inconsistant ,but I am arriving at only one point for my answer, telling me this is constant but  dependent am I doing something horribly wrong?

8x-9y=-63
9y-8x=63

drwls · Answer

One equation can be derived from the other, by multiplying both sides by -1 and rearranging. They are consistent equations, and there is no unique solution. It is the same as having only one equation for two variables.

lisa · Answer

I think they are independent am I right?And would my answer be no solution or a point, my worksheet specifies for no solution, a point, and many solutions...I marked a point.

drwls · Answer

They are not independent. There are many (actually, infinite) solutions