y=(5-4x)/x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

(-1*(5-4*x))/x+y = 0

(-1*(5-4*x))/x+(x*y)/x = 0

x*y-1*(5-4*x) = 0

4*x+x*y-5 = 0

4*x+x*y-5 = 0

x*y-5 = 0 // + 5

x*y = 5 // : y

x = 5/y

x-5*y^-1 = 0

(x-5*y^-1)/x = 0

(x-5*y^-1)/x = 0 // * x

x-5*y^-1 = 0

x-5*y^-1 = 0 // + -5*y^-1

x = -(-5*y^-1)

x = 5*y^-1

x = 5*y^-1

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