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State why the system of equations must have at least one solution. (Select all that apply.)...

State why the system of equations must have at least one solution. (Select all that apply.)

5x + 5y − z = 0
10x + 5y + 5z = 0
5x + 15y − 15z = 0

Solve the system and determine whether it has exactly one solution or infinitely many solutions. (If the system has an infinite number of solutions, express x, y, z in terms of the parameter t.) (x, y, z) =

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