Determine each of the following as being either true or false. If it is false, explain why.

One method of finding the solution of the following system of equations would be to subtract the left side and the right side of the first equation from the respective sides of the second and third equations to create a system of two equations in x and z.

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3x - 2y - z = 1 4x - 2y + 3z = -6 x - 2y + z = -5