Using the following equation, find the center and radius of the circle. you must show all work and calculations to receive credit.

x2 + 4x + y2 − 6y = −4

A. (see Step-by-step explanation)

B. (-1, 4)

Step-by-step explanation:

Since both functions are equal to y, we can set them equal to each other.

-x + 3 = 4x + 8

Add the x to both sides (because it is negative on the left) and subtract the 8 from both sides (because it is positive on the right and we need to isolate the variable).

-5 = 5x

Divide both sides by 5 (because it is being multiplied to the x) to isolate x.

x = -1

Next, to solve for y, we can plug in -1 for x in either equation from the beginning.

y = -(-1) + 3

y = 1 + 3

y = 4