Write a system of equations to describe the situation below, solve using substitution, and fillin the blanks.Two political activists, Darnell and Terrell, have a friendly bet to see who can get the mostsignatures on a petition. So far, Darnell has collected 48 signatures and Terrell has collected146 signatures. Darnell is averaging 3 new signatures per minute, while Terrell is managingto collect an average of 1 signature per minute. Assuming this trend continues, they will havea tie before long. How many signatures will each one have at that point? How long will thattake?