Use the substitution method to find all solutions of the system
{y=x1xy=2\displaystyle {\left\lbrace\begin{array}{c} {y}={x}-{1}\\{x}{y}={2}\end{array}\right.}
The solutions of the system are:

x1=\displaystyle {x}_{{1}}=   , y1=\displaystyle {y}_{{1}}=   and
x2=\displaystyle {x}_{{2}}=   , y2=\displaystyle {y}_{{2}}=   with x1<x2\displaystyle {x}_{{1}}<{x}_{{2}}.