Consider a linear programming problem with the following constraints.

constraint $1$: $10x_1+13x_{2}51$

constraint $2$: $3x_1+29x_{2}195$

constraint $3$: $x_{1}10$

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

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