Two political activists, Quinn and Zane, have a friendly bet to see who can get the most signatures on a petition. So far, Quinn has collected 35 signatures and Zane has collected 5 signatures. Quinn is averaging 1 new signature per minute, while Zane is managing to collect an average of 4 signatures per minute. Assuming this trend continues, they will have a tie before long. How many signatures will each one have at that point? Write a system of equations, graph them, and type the solution.