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ILL 1976 Problem 9

    Find all (real) solutions of the system 3x1−x2−x3−x5=0,3x_1-x_2-x_3-x_5 = 0,−x1+3x2−x4−x6=0,-x_1+3x_2-x_4-x_6= 0,−x1+3x3−x4−x7=0,-x_1 + 3x_3 - x_4 - x_7 = 0,−x2−x3+3x4−x8=0,-x_2 - x_3 + 3x_4 - x_8 = 0,−x1+3x5−x6−x7=0,-x_1 + 3x_5 - x_6 - x_7 = 0,−x2−x5+3x6−x8=0,-x_2 - x_5 + 3x_6 - x_8 = 0,−x3−x5+3x7−x8=0,-x_3 - x_5 + 3x_7 - x_8 = 0,−x4−x6−x7+3x8=0.-x_4 - x_6 - x_7 + 3x_8 = 0.

    Dataset text AI-MO AoPS. Quoted with source.

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