3/(x-1)=5y

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Solution for 3/(x-1)=5y 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)

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

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

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

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

3-5*y*(x-1) = 0

5*y-5*x*y+3 = 0

(5*y-5*x*y+3)/(x-1) = 0

(5*y-5*x*y+3)/(x-1) = 0 // * x-1

5*y-5*x*y+3 = 0

5*y-5*x*y+3 = 0 // - 5*y+3

-5*x*y = -(5*y+3) // : -5*y

x = (-(5*y+3))/(-5*y)

x = (1/5)*y^-1*(5*y+3)

x = (1/5)*y^-1*(5*y+3)

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