What is 3x^{(2)}=9-3y^{(2)}-6y ?

The solution to 3x^{(2)}=9-3y^{(2)}-6y is Circle with (a,b)=(0,-1),r=2

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3x^{(2)}=9-3y^{(2)}-6y

3 x^{(2)} = 9 - 3 y^{(2)} - 6 y

(a, b) = (0, - 1), r = 2

Solution steps

3 x^{2} = 9 - 3 y^{2} - 6 y

Rewrite

3 x^{2} = 9 - 3 y^{2} - 6 y

in the form of the standard circle equation

(x - 0)^{2} + (y - (- 1))^{2} = 2^{2}

Therefore the circle properties are:

(a, b) = (0, - 1), r = 2

x^{2} + y^{2} + 10 x - 2 y = 55

4 x^{2} + 4 y^{2} - 16 y - 105 = 0

x^{2} + y^{2} + 4 x - 2 y = 1

x^{2} + y^{2} + 18 x + 17 = 0

(x - 4)^{2} + (y + 3)^{2} = 5^{2}

What is 3x^{(2)}=9-3y^{(2)}-6y ?
The solution to 3x^{(2)}=9-3y^{(2)}-6y is Circle with (a,b)=(0,-1),r=2