Final answer:
To find the inverse of the given relation, solve the equation for y and plug in the x-coordinate of each option to find the inverse ordered pair.
Step-by-step explanation:
To find the inverse of the given relation, we need to solve the equation for y in terms of x. Let's start:
x²y + 5y = 63
Factoring out y, we get:
y(x² + 5) = 63
Dividing both sides by (x² + 5), we can isolate y:
y = 63 / (x² + 5)
Now, we can plug in the x-coordinate from each of the ordered pairs given and see which one produces a y-coordinate that satisfies the inverse relation. Only option B. (4, -3) satisfies this condition when plugged into the inverse relation equation.