Jim is planning a conference in a hall that has two types of seating, chairs and sofas. He is trying to decide how best to arrange the stationery. He decided that some of the tables at the conference will have boxes of blue pens, and some of the tables will have boxes of black pens. He decided that on each black pen table in the chair seating area, there should be 3 fewer boxes of black pens than there are pens in each box. There should be 6 black pen tables and one table with 3 boxes of blue pens in the chair seating area. The sofa seating area will have one table with 7 boxes of black pens and one table with 9 boxes of blue pens. Jim plans on using a total of 90 pens in the chair seating area tables, and a total of 65 pens in the sofa seating area tables. Jim wants to apply these numbers to determine how many pens will go in the boxes if all of the black pen boxes have an equal number of black pens, and all of the blue pen boxes have an equal number of blue pens. The following system of equations can be used to model this situation. Use the above system of equations to determine how many of the solutions are viable. Note: Jim wants the number of pens to be as close to his specifications as possible, but the solution does not need to include whole numbers in order to be considered viable.