Consider a linear programming problem with the following constraints.

constraint $1$: $9x_1+33x_{2}52$

constraint $2$: $7x_1+47x_{2}138$

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$)$