y/(2*x)=(6-2*y)/(3-x)

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Solution for y/(2*x)=(6-2*y)/(3-x) equation:


D( x )

3-x = 0

2*x = 0

3-x = 0

3-x = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

x in (-oo:0) U (0:3) U (3:+oo)

y/(2*x) = (6-(2*y))/(3-x) // - (6-(2*y))/(3-x)

y/(2*x)-((6-(2*y))/(3-x)) = 0

y/(2*x)-((6-2*y)/(3-x)) = 0

(-1*(6-2*y))/(3-x)+y/(2*x) = 0

(-1*2*x*(6-2*y))/(2*x*(3-x))+(y*(3-x))/(2*x*(3-x)) = 0

y*(3-x)-1*2*x*(6-2*y) = 0

3*x*y-12*x+3*y = 0

3*x*y-12*x+3*y = 0

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

x*y+y = 0 // - y

x*y = -y // : y

x = -y/y

x = -1

3*(x+1) = 0

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

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

3*(x+1) = 0

x+1 = 0 // - 1

x = -1

x = -1

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