(5x-9)/x=8y

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Solution for (5x-9)/x=8y equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(5*x-9)/x = 8*y // - 8*y

(5*x-9)/x-(8*y) = 0

(5*x-9)/x-8*y = 0

(5*x-9)/x+(-8*x*y)/x = 0

5*x-8*x*y-9 = 0

5*x-8*x*y-9 = 0

-8*x*y-9 = 0 // + 9

-8*x*y = 9 // : -8*y

x = 9/(-8*y)

x+9/8*y^-1 = 0

(x+9/8*y^-1)/x = 0

(x+9/8*y^-1)/x = 0 // * x

x+9/8*y^-1 = 0

x+9/8*y^-1 = 0 // - 9/8*y^-1

x = -(9/8*y^-1)

x = -9/8*y^-1

x = -9/8*y^-1

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