k i need to solve the following system:

7x - 8y = 24
xy^2 = 1

i figured out that x = 1/y^2 and i can reduce it to :

7=24y^2+8y^3

but i don't know how to reduce it anymore after that

I think I would solve it graphically, that is, plot on my graphing calculator the two original equations, and see where they intersect