On the set of axes below graph the inequality 2x+y>1

Roughly something like this. The y intercept is at (0,1). The x intercept is at (-.5,0). Another point is at (1,3).

Sally purchased a TV from Rent-A-Center. She made her a down payment of $8.35x before she took her TV home. The down payment was the same amount as the payments she would continue to make monthly. Every month after that she made payments of $4.25x+36. Solve for x. (x=9, payments are $75.15)