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

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Solution for y=(5x+1)/(3x-2) equation:


D( x )

3*x-2 = 0

3*x-2 = 0

3*x-2 = 0

3*x-2 = 0 // + 2

3*x = 2 // : 3

x = 2/3

x in (-oo:2/3) U (2/3:+oo)

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

y-((5*x+1)/(3*x-2)) = 0

(-1*(5*x+1))/(3*x-2)+y = 0

(-1*(5*x+1))/(3*x-2)+(y*(3*x-2))/(3*x-2) = 0

y*(3*x-2)-1*(5*x+1) = 0

3*x*y-5*x-2*y-1 = 0

(3*x*y-5*x-2*y-1)/(3*x-2) = 0

(3*x*y-5*x-2*y-1)/(3*x-2) = 0 // * 3*x-2

3*x*y-5*x-2*y-1 = 0

3*x*y-2*y-1 = 0 // + -2*y-1

3*x*y = -(-2*y-1) // : 3*y

x = (-(-2*y-1))/(3*y)

x = (1-(-2*y))/(3*y)

x = (1-(-2*y))/(3*y)

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