(4x-11)/(2x+3)=y

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Solution for (4x-11)/(2x+3)=y equation: 


D( x )

2*x+3 = 0

2*x+3 = 0

2*x+3 = 0

2*x+3 = 0 // - 3

2*x = -3 // : 2

x = -3/2

x in (-oo:-3/2) U (-3/2:+oo)

(4*x-11)/(2*x+3) = y // - y

(4*x-11)/(2*x+3)-y = 0

(4*x-11)/(2*x+3)+(-y*(2*x+3))/(2*x+3) = 0

4*x-y*(2*x+3)-11 = 0

4*x-2*x*y-3*y-11 = 0

(4*x-2*x*y-3*y-11)/(2*x+3) = 0

(4*x-2*x*y-3*y-11)/(2*x+3) = 0 // * 2*x+3

4*x-2*x*y-3*y-11 = 0

-2*x*y-3*y-11 = 0 // + -3*y-11

-2*x*y = -(-3*y-11) // : -2*y

x = (-(-3*y-11))/(-2*y)

x = (11-(-3*y))/(-2*y)

x = (11-(-3*y))/(-2*y)

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