$$7x\times10b=1x=410b$$
$70bx=x\text{ and }x=410b$
$\left\{\begin{matrix}x=0\text{, }&b=0\\x=\frac{41}{7}\approx 5.857142857\text{, }&b=\frac{1}{70}\end{matrix}\right.$
$\left\{\begin{matrix}b=\frac{1}{70}\text{, }&x=\frac{41}{7}\\b=0\text{, }&x=0\end{matrix}\right.$