Must be Algebra

Algebra Level 4

{x+7y+3v+5u=168x+4y+6v+2u=162x+6y+4v+8u=165x+3y+7v+u=16\begin{cases} x + 7y + 3v + 5u = 16 \\ 8x + 4y + 6v + 2u = -16 \\ 2x + 6y + 4v + 8u = 16 \\ 5x + 3y + 7v + u = -16 \end{cases}

Real numbers xx, yy, uu, and vv satisfy the system of equations above. Find xyuvxyuv.

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