The matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the system, if it exists.
A. infinitely many solutions of the form x = 2 + 3z, y = 4 + z, z = z
B. infinitely many solutions of the form x = 2 - 3z, y = 4 - z, z = z
C. infinitely many solutions of the form x = 2 + 3z, y = 4 - z, z = z
D. infinitely many solutions of the form x = 2 - 3z, y = 4 + z, z = z
Answer: C
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