Question

Given that x^2 - y^2 = 45 and x + y = 9, find the values of x and y.

Answer 1

x = 7

y = 2

Explanation:

x² - y² = 45

(x+y) (x-y) = 45

x + y = 9 (known)

9 x (x-y) = 45

x - y = 5

y = x-5

x + (x - 5) = 9 (substitute)

2x = 14

x = 7

y = 2