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

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


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x in (-oo:5) U (5:+oo)

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

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

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

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

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

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

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

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

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

x*y-5*y+1 = 0 // - 1-5*y

x*y = -(1-5*y) // : y

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

x = -(y^-1*(1-5*y))

x = -(y^-1*(1-5*y))

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