((4x-9)/(x))+((9x-8)/(7x))=y

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Solution for ((4x-9)/(x))+((9x-8)/(7x))=y equation:


D( x )

7*x = 0

x = 0

7*x = 0

7*x = 0

7*x = 0 // : 7

x = 0

x = 0

x = 0

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

(4*x-9)/x+(9*x-8)/(7*x) = y // - y

(4*x-9)/x+(9*x-8)/(7*x)-y = 0

(7*x*(4*x-9))/(7*x*x)+(x*(9*x-8))/(7*x*x)+(7*x*x*(-y))/(7*x*x) = 0

7*x*(4*x-9)+x*(9*x-8)+7*x*x*(-y) = 0

37*x^2-71*x-7*x^2*y = 0

37*x^2-71*x-7*x^2*y = 0

x*(37*x-7*x*y-71) = 0

-7*x*y-71 = 0 // + 71

-7*x*y = 71 // : -7*y

x = 71/(-7*y)

x*(x+71/7*y^-1) = 0

(x*(x+71/7*y^-1))/(7*x*x) = 0

(x*(x+71/7*y^-1))/(7*x*x) = 0 // * 7*x*x

x*(x+71/7*y^-1) = 0

( x+71/7*y^-1 )

x+71/7*y^-1 = 0 // - 71/7*y^-1

x = -(71/7*y^-1)

x = -71/7*y^-1

( x )

x = 0

x in { 0}

x = -71/7*y^-1

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