y=(3x)/(x-1)

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Solution for y=(3x)/(x-1) equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

y = (3*x)/(x-1) // - (3*x)/(x-1)

y-((3*x)/(x-1)) = 0

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

(-3*x)/(x-1)+y = 0

(-3*x)/(x-1)+(y*(x-1))/(x-1) = 0

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

x*y-3*x-y = 0

x*y-3*x-y = 0

x*y-y = 0 // + y

x*y = y // : y

x = y/y

x = 1

x-1 = 0

(x-1)/(x-1) = 0

(x-1)/(x-1) = 0 // * x-1

x-1 = 0

x-1 = 0 // + 1

x = 1

x in { 1} 

x belongs to the empty set

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