1.

Find all solutions x1, . . . , x5 to the system of equations⎧⎪⎪⎪⎪⎨⎪⎪⎪⎪⎩x5 + x2 = yx1,x1 + x3 = yx2,x2 + x4 = yx3,x3 + x5 = yx4,x4 + x1 = yx5,

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