alilu alilu
  • 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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