Consider a linear programming problem with the following constraints.

constraint $1$: $16x_1+17x_{2}61$

constraint $2$: $4x_1+41x_{2}164$

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

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

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