fb4af8…: “Owing to a quick home”

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Suppose that $f(x,y) = \frac {5x}{6-4y}$ . Find the equation of the tangent plane to the surface $z=f(x,y)$ at the point where $(x,y)=(8,2)$ . Express your final answer in the form $z=Ax+By+C$ .

$z= \answer {-\frac {5}{2}} \cdot x + \answer {40} \cdot y + \answer {-80}$