Question

How do you solve for x and y?

Answer 1

Hey there!!

We have:

... x² + y² = 25

... x² + y² = 5²

... y² = 5² - x²

and

... y² - 2x = 25

... y² - 2x = 5²

We know y² = 5² - x²

... 5²-x²-2x = 5²

... -x² - 2x = 5²-5²

... -x² - 2x = 0

... x(-x-2) = 0

... -x-2 = 0

... -x = 2

... x = -2

Hence, the value of x is -2.

... x² + y² = 25

... (-2)² + y² = 25

... 4 + y² = 25

... y² = 25 - 4

... y² = 21

... y = √21

Hence, the value of 'y' is √21.

Hope my answer helps!!