Please find the radius of the inscribed circle in LMN

Answer:
radius=11
Step-by-step explanation:
PQ=PS=PR for an inscribed circle. This is the radius.
PQ=-2y+15
PS=3y+5
since PS=PQ then 3y+5=-2y+15
reducing:
3y+2y+5=-2y+2y+15
5y+5=15
5y+5-5=15-5
5y=10
5y/5=10/5
y=2
substituting for y
PS=3y+5
PS=3(2)+5
PS=11