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Solve each of the following systems of equations. If the system has a unique solution (one solution), state this

and exhibit the solution. If the system is inconsistent (has no solutions) state this. If the system has an infinite number of solutions, state this and exhibit 3 different solutions.

x + y + 3z + w = 6

2x + 3y + 7z + 5w = 24

3x - 2y + 4z - w = -5

x + 5y + 7z + 2w = 20

4x - 3y + 5z - 2w = -9

row reduces to .

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