y=(1+3x)/(5-2x)

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Solution for y=(1+3x)/(5-2x) equation:


D( x )

5-(2*x) = 0

5-(2*x) = 0

5-(2*x) = 0

5-2*x = 0

5-2*x = 0 // - 5

-2*x = -5 // : -2

x = -5/(-2)

x = 5/2

x in (-oo:5/2) U (5/2:+oo)

y = (3*x+1)/(5-(2*x)) // - (3*x+1)/(5-(2*x))

y-((3*x+1)/(5-(2*x))) = 0

y-((3*x+1)/(5-2*x)) = 0

(-1*(3*x+1))/(5-2*x)+y = 0

(-1*(3*x+1))/(5-2*x)+(y*(5-2*x))/(5-2*x) = 0

y*(5-2*x)-1*(3*x+1) = 0

5*y-3*x-2*x*y-1 = 0

(5*y-3*x-2*x*y-1)/(5-2*x) = 0

(5*y-3*x-2*x*y-1)/(5-2*x) = 0 // * 5-2*x

5*y-3*x-2*x*y-1 = 0

5*y-2*x*y-1 = 0 // - 5*y-1

-2*x*y = -(5*y-1) // : -2*y

x = (-(5*y-1))/(-2*y)

x = (1-(5*y))/(-2*y)

x = (1-(5*y))/(-2*y)

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