Question

PLEASE ANSWER this question.​

Answer 1

Answer:

x = ab and y = ab

Step-by-step explanation:

(b/a)x + (a/b)y = a² + b²

( b²x + a²y)/ab= a² + b²

a²x + b²y = ab(a² + b²)

a²x + b²y = a³b + ab³ -----(1)

x + y = 2ab -----------(2)

from eq 2

x = 2ab - y

put x in eq.1

a²x + b²y = a³b + ab³

a²(2ab - y) + b²y = a³b + ab³

2a³b - a²y + b²y = a³b + ab³

-a²y + b²y = a³b + ab³ - 2a³b

-y(a² - b²) = -a³b + ab³

-y(a² - b²) = -ab(a² - b²)

y = [ab(a² - b²)]/(a² - b²) [(a² - b²)/(a² - b²) = 1]

y = ab

put y in eq. 2

x + y = 2ab

x = 2ab - y

x = 2ab - ab

x = ab