Answer
$(1,0)$, $(4,3)$
Work Step by Step
Re-arrange the given two equations and then use the substitution method to get
$5y=(y+1)^2-1$
or, $y^2-3y=0$
or, $y(y-3)=0$
when $y=0$ then we have $x=0+1=1$
when $y=3$ then we have $x=3+1=4$
Hence, our answers are: $(1,0)$, $(4,3)$
