Determine the wheather the equation y as a function of x

X^2+y=25
X+y^2=25
X=y^2

1 answer

The equation y as a function of x can be determined by solving each equation separately for y.

1) X^2 + y = 25:
To solve for y, subtract X^2 from both sides:
y = 25 - X^2

2) X + y^2 = 25:
To solve for y, take the square root of both sides:
√(X + y^2) = √25
y = ±√(25 - X)

3) X = y^2:
Solving for y, take the square root of both sides:
√X = y

Therefore, y as a function of x is given by:
y = 25 - X^2 (from equation 1)
y = ±√(25 - X) (from equation 2)
y = √X (from equation 3)