y=3x/(x-2)

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Solution for y=3x/(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 = (3*x)/(x-2) // - (3*x)/(x-2)

y-((3*x)/(x-2)) = 0

y-3*x*(x-2)^-1 = 0

(-3*x)/(x-2)+y = 0

(-3*x)/(x-2)+(y*(x-2))/(x-2) = 0

y*(x-2)-3*x = 0

x*y-3*x-2*y = 0

x*y-3*x-2*y = 0

x*y-2*y = 0 // + -2*y

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

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

x = 2

x-2 = 0

(x-2)/(x-2) = 0

(x-2)/(x-2) = 0 // * x-2

x-2 = 0

x-2 = 0 // + 2

x = 2

x in { 2} 

x belongs to the empty set

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