Final answer:
To solve the equation, rearrange it to isolate y and find the values of y that satisfy the equation.
Step-by-step explanation:
This is an equation of an ellipse, where the variable x represents the horizontal axis and y represents the vertical axis. To solve the equation, we need to rearrange it to isolate y and then find the values of y that satisfy the equation.
Here are the steps to solve the equation:
- Multiply both sides of the equation by 9 to eliminate the fraction: x² + (9/4)y² = 9
- Subtract x² from both sides: (9/4)y² = 9 - x²
- Multiply both sides by 4/9 to isolate y²: y² = (9 - x²) * 4/9
- Take the square root of both sides to solve for y: y = ± sqrt((9 - x²) * 4/9)