13-01-2021
Mathematics

contestada

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

Respuesta :

kenlingdad kenlingdad

13-01-2021

Answer:

x = 7

y = 2

Step-by-step 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

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