Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Two political activists, Tori and Bridgette, have a friendly bet to see who can get the most signatures on a petition. So far, Tori has collected 42 signatures and Bridgette has collected 130 signatures. Tori is averaging 3 new signatures per minute, while Bridgette is managing to collect an average of 1 signature per minute. Assuming this trend continues, they will have a tie before long. How many signatures will each one have at that point? How long will that take?Tori and Bridgette will each have collected signatures in minutes.