2/(3x-5)=y

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Solution for 2/(3x-5)=y equation: 


D( x )

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0 // + 5

3*x = 5 // : 3

x = 5/3

x in (-oo:5/3) U (5/3:+oo)

2/(3*x-5) = y // - y

2/(3*x-5)-y = 0

2/(3*x-5)+(-y*(3*x-5))/(3*x-5) = 0

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

5*y-3*x*y+2 = 0

(5*y-3*x*y+2)/(3*x-5) = 0

(5*y-3*x*y+2)/(3*x-5) = 0 // * 3*x-5

5*y-3*x*y+2 = 0

5*y-3*x*y+2 = 0 // - 5*y+2

-3*x*y = -(5*y+2) // : -3*y

x = (-(5*y+2))/(-3*y)

x = (1/3)*y^-1*(5*y+2)

x = (1/3)*y^-1*(5*y+2)

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