Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Sean stayed in three different cities (Washington, D.C., Atlanta, Georgia, and Dallas, Texas) for a total of 11 nights. He spent twice as many nights in Dallas as he did in Washington. The total cost for 11 nights (excluding tax) was $1830. Determine the number of nights that he spent in each city.City Cost per NightWashington $230Atlanta $120Dallas $150Sean spent _____ night(s) in Washington, ______ night(s) in Atlanta, and ______ night(s) in Dallas.