Kaylee and her children went into a grocery store where they sell peaches for $1.25 each and mangos for $0.75 each. Kaylee has $15 to spend and must buy no less than 13 peaches and mangos altogether. Also, she must buy a minimum of 5 peaches. If x represents the number of peaches purchased and y represents the number of mangos purchased, write and solve a system of inequalities graphically and determine one possible solution.