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ILL 1967 Problem 6

    Solve the system of equations:

    ∣x+y∣+∣1−x∣=6∣x+y+1∣+∣1−y∣=4.\begin{matrix} |x+y| + |1-x| = 6 \\ |x+y+1| + |1-y| = 4. \end{matrix}

    Dataset text AoPS wiki problems. Quoted with source.

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