Answer
$(1,-1)$, $(-1,1)$
Work Step by Step
Re-arrange the given two equations and then use the substitution method to get
$(-y)^2+y^2=2$
or, $2y^2=2$
or, $y=-1,1$
when $y=-1$ then we have $x=1$
when $y=1$ then we have $x=-1$
Hence, our answers are: $(1,-1)$, $(-1,1)$
