Question: 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

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.
1.
2x1 - 3x2 + x3 + 7x4 = 14
2x1 + 8x2 - 4x3 + 5x4 = - 1
x1 + 3x2 - 3x3 = 4
- 5x1 + 2x2 + 3x3 + 4x4 = - 19
2.
3x1 + 4x2 - x3 + 2x4 = 6
x1 - 2x2 + 3x3 + x4 = 2
10x2 - 10x3 - x4 = 1

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