System of equations $x + xy + y = 11$ and $yx^2 + xy^2 = 30$ I have problem with solving this one.
Total number of solutions from system of equations?
\begin{cases} 
x + xy + y = 11 \\ 
x^2y + y^2x = 30 
\end{cases}
There is a system of equation and I have tried to get some normal solutions, but I always get the fourth degree polynomial from which I do not know how to get simple 'x's and 'y's. I know that task asks me to just find total number, but I would like to know which solutions are those. This is adjusted for high school mathematics level. 

Hint: Use the substitution a=x+y
and b=xy.
Thus your two equations become a+b=11,   ab=30.
Can you solve the above equation, and from that solve for x and y?
