Multiple Choice

A warehouse manager is using a system of linear equations to analyze the storage requirements for three different product lines (item xx, item yy, and item zz). The resource model is as follows:

{2x2y+3z=64x3y+2z=02x+3y7z=1\left\{\begin{array}{l} 2x - 2y + 3z = 6 \\ 4x - 3y + 2z = 0 \\ -2x + 3y - 7z = 1 \end{array}\right.

When applying the elimination method to solve this specific model, the variables are eventually removed to reveal that the system is 'inconsistent' (it has no solution). According to the documented procedure for this system, which false numerical statement is reached that confirms this inconsistency?

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Updated 2026-05-22

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