Consider a linear programming problem with the following constraints.

constraint $1$: $13x_1+13x_{2}73$

constraint $2$: $1x_1+27x_{2}123$

constraint $3$: $x_{1}6$

Find the intersection of constraint $2$ and constraint $3.$

What is the value of $x_2$ at this point? Answer to $2$ decimal places$)$