A simultaneous system of equations Solve for $a,b,c$:
\begin{align}
2ab+a+2b=24\\
2bc+b+c=52\\
2ac+2c+a=74\\
\end{align}
Solving them simultaneously is leading to very difficult situation. Plz help.

At first we gonna determine $a$, at first lets say $b\neq -2$ 
$$ 2 ab+ a + 2b=24 \iff a(2+b)+2b =24 \iff a=\frac{24-2b}{2+b}$$ 
afterwards do the same on the second equation, and you will be able to express the third only with terms of $c$. 
