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{y2+u2+v2+w2=4x−1x2+u2+v2+w2=4y−1x2+y2+v2+w2=4u−1x2+y2+u2+w2=4v−1x2+y2+u2+v2=4w−1 \begin{cases} y^2 + u^2 + v^2 + w^2 = 4x - 1 \\ x^2 + u^2 + v^2 + w^2 = 4y - 1 \\ x^2 + y^2 + v^2 + w^2 = 4u - 1 \\ x^2 + y^2 + u^2 + w^2 = 4v - 1 \\ x^2 + y^2 + u^2 + v^2 = 4w - 1 \\ \end{cases} ⎩⎪⎪⎪⎪⎪⎪⎨⎪⎪⎪⎪⎪⎪⎧y2+u2+v2+w2=4x−1x2+u2+v2+w2=4y−1x2+y2+v2+w2=4u−1x2+y2+u2+w2=4v−1x2+y2+u2+v2=4w−1
If y,u,v,wy,u,v,wy,u,v,w and xxx are real numbers satisfying the systems of equations above, find y+u+v+w+xy+u+v+w+xy+u+v+w+x.
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