Answer
$x=5,2$ and $y=2,-1$
Work Step by Step
We need to rearrange the given equations as follows:
$y+3 =y^2+1 \implies y^2-y-2 =0$
$\implies (y-2)(y+1)=0$
We get: $y=2,-1$
Now, we will plug the values of $y$ into the expression of $x$ to find the other unknown.
When $y=2; x=2+3=5$
When $y=-1; x=-1+3=2$
Therefore, $x=5,2$ and $y=2,-1$
