Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Helen stayed in three different cities (Washington, D.C., Atlanta, Georgia, and Dallas, Texas) for a total of 17 nights. She spent three times as many nights in Dallas as she did in Washington. The total cost for 17 nights (excluding tax) was $2930. Determine the number of nights that she spent in each city. Helen spent night(s) in Washington, City Washington Atlanta Dallas Cost per Night $220 $130 $180 night(s) in Atlanta, and night(s) in Dallas.