(5x-3)/(3x-4)=y

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Solution for (5x-3)/(3x-4)=y equation: 


D( x )

3*x-4 = 0

3*x-4 = 0

3*x-4 = 0

3*x-4 = 0 // + 4

3*x = 4 // : 3

x = 4/3

x in (-oo:4/3) U (4/3:+oo)

(5*x-3)/(3*x-4) = y // - y

(5*x-3)/(3*x-4)-y = 0

(5*x-3)/(3*x-4)+(-y*(3*x-4))/(3*x-4) = 0

5*x-y*(3*x-4)-3 = 0

5*x-3*x*y+4*y-3 = 0

(5*x-3*x*y+4*y-3)/(3*x-4) = 0

(5*x-3*x*y+4*y-3)/(3*x-4) = 0 // * 3*x-4

5*x-3*x*y+4*y-3 = 0

4*y-3*x*y-3 = 0 // - 4*y-3

-3*x*y = -(4*y-3) // : -3*y

x = (-(4*y-3))/(-3*y)

x = (3-(4*y))/(-3*y)

x = (3-(4*y))/(-3*y)

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