Are the identities correct for the following conic sections? Also, is the work for each equation correct? Each is supposed to be solved for y. Thanks will be give to those who help

1. 25x^2 - 9y^2 = 144

-9y^2 = -25x^2 + 144

-9y^2/-9 = -25x^2/-9 + 144

y^2 = -25x^2/-9 + 144

y = +_SQRT(-25x^2/-9 + 144)

Hyperbola

2. x^2 + y^2 = 225

y^2 = -x^2 + 225

y = +_SQRT(-x^2 + 225)

Ellipse

3. x^2 + 3y^2 = 3

3y^2 = -x^2 + 3

3y^2/3 = -x^2/3 + 3

y^2 = -x^2/3 + 3

y = +_SQRT(-x^2/3 + 3)

Ellipse