find all solutions to the system of linear equations. Use your favorite computing device to row-reduce the augmented matrices for the systems, and write the solutions as a set, using correct set notation

Contributed by Robert Beezer Statement [43]

We row-reduce the augmented matrix of the system of equations,

This augmented matrix represents the linear system x₁ = 3, x₂ =1, x₃ = 2, x₄ = 5, which clearly has only one possible solution. We can write this solution set then as