#### Write a system of equations to describe the situation below, solve using an augmented matrix

A TV station executive is planning the new lineup for next season's shows. On Monday nights, there will be 1 sitcom, for a total of 21 minutes of programming, not counting commercials. On Tuesday nights, he has scheduled 6 sitcoms and 2 dramas, for a total of 228 minutes of non-commercial programming. All sitcoms have the same length and all dramas have the same length. How long is each type of show?