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Find x+y from a trigonometric system

High school · ●●○○○ 20 pts

Given that x+sin⁡y=2008x+\sin y=2008 and x+2008cos⁡y=2007x+2008 \cos y=2007, where 0≤y≤π20 \leq y \leq \frac{\pi}{2}, find the value of x+yx+y. Round to two decimal places.

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trigonometric equationssystems of equations