Question 172
For real numbers $x$ and $y$ we have
$$
x^{3}+x^{2}+x y+x+y+2=0 \quad \text{and} \quad y^{3}-y^{2}+3 y-x=0.
$$
Determine the value of the expression $x-y$.
$$
x^{3}+x^{2}+x y+x+y+2=0 \quad \text{and} \quad y^{3}-y^{2}+3 y-x=0.
$$
Determine the value of the expression $x-y$.