4/(2x-8)=y

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Solution for 4/(2x-8)=y equation: 


D( x )

2*x-8 = 0

2*x-8 = 0

2*x-8 = 0

2*x-8 = 0 // + 8

2*x = 8 // : 2

x = 8/2

x = 4

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

4/(2*x-8) = y // - y

4/(2*x-8)-y = 0

4/(2*x-8)+(-y*(2*x-8))/(2*x-8) = 0

4-y*(2*x-8) = 0

8*y-2*x*y+4 = 0

(8*y-2*x*y+4)/(2*x-8) = 0

(8*y-2*x*y+4)/(2*x-8) = 0 // * 2*x-8

8*y-2*x*y+4 = 0

8*y-2*x*y+4 = 0 // - 8*y+4

-2*x*y = -(8*y+4) // : -2*y

x = (-(8*y+4))/(-2*y)

x = (1/2)*y^-1*(8*y+4)

x = (1/2)*y^-1*(8*y+4)

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