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 row-reduces to

which row-reduces to

Row 3 represents the equation 0 = 1, which is patently false, so the original system has no solutions. We can express the solution set as the empty set, ∅ = { }.