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

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


D( x )

1-x = 0

1-x = 0

1-x = 0

1-x = 0 // - 1

-x = -1 // * -1

x = 1

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

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

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

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

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

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

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

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

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

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

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

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

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

x = (y+5)/y

x = (y+5)/y

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