y-5=1/(x-2)

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Solution for y-5=1/(x-2) equation: 


D( x )

x-2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:+oo)

y-5 = 1/(x-2) // - 1/(x-2)

y-(1/(x-2))-5 = 0

y-(x-2)^-1-5 = 0

y-1/(x-2)-5 = 0

(y*(x-2))/(x-2)-1/(x-2)+(-5*(x-2))/(x-2) = 0

y*(x-2)-5*(x-2)-1 = 0

x*y-5*x-2*y-1+10 = 0

x*y-5*x-2*y+9 = 0

(x*y-5*x-2*y+9)/(x-2) = 0

(x*y-5*x-2*y+9)/(x-2) = 0 // * x-2

x*y-5*x-2*y+9 = 0

9-5*x-2*y = 0 // - 9-2*y

-5*x = -(9-2*y) // : -5

x = (-(9-2*y))/(-5)

x = (9-2*y)/5

x = (9-2*y)/5

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