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

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


D( x )

5*x+1 = 0

5*x+1 = 0

5*x+1 = 0

5*x+1 = 0 // - 1

5*x = -1 // : 5

x = -1/5

x in (-oo:-1/5) U (-1/5:+oo)

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

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

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

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

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

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

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

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

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

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

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

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

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

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