(1) x^4 = y - 1
(2) 3x^2 = y + 1
find all solutions in (x,y)
Solve each equation for y:
Since both equations are equal to y, you can set the two equations equal:
Move everything to one side:
Factor:
Set each equal to 0:
Solve for x:
Make it look a little nicer:
And finally, you can substitute these back in to get the values for y if you really need them .