If x and y are real numbers, determine all solutions (x,y) of the system of equations. x^6+2x^2y-32=0 and x^2-y-8=0

Question

I don't really understand what process I'm supposed to do and how to find all possible solutions.

Answer 1

In the second equation isolate the y.

Substitute y's value into the first equation - really messy!

Solve for x. Then substitute to determine value(s) of y.