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]

The augmented matrix of the system of equations is

which row-reduces to

With a leading one in the last column Theorem RCLS [55] tells us the system of equations is inconsistent, so the solution set is the empty set, ∅.