SOLUTION: I am not sure how to solve this problem when there is a x^3 x^3 + y = 0 x^2 - y + 0

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Question 34394This question is from textbook College Algebra Essentials
: I am not sure how to solve this problem when there is a x^3
x^3 + y = 0
x^2 - y + 0 This question is from textbook College Algebra Essentials

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
x~3+y=0
x~2-y=0 adding these two equations we get
x~3+x~2=0 (the +y & the -y cancel out)
now we factor x~2 out & we have x~2(x+1)=0 x~2=0 or x=0 and x+1=0 or x=-1
substituting -1 for x in both equations we get
(-1)~3+y=0 or -1+y=0 or -1=-y or y=1
(-1)~2-1=0 or 1-y=0 or 1=y therefore x=-1 & y=1