Question

Solve the equation :- x/a+y/b =2 ; ax - by =a^2 - b^2 . ​

Answer 1

Step-by-step explanation:

x/a + y/b = 2

{\Rightarrow }⇒ ay + xb = 2ab----------( 1 )

ax - by = a² - b²---------( 2 )

from-----( 1 ) &-------( 2 )

multiply ( 1 ) by "a" ( 2 ) by "b"

abx + a²y = 2a²b

abx - b²y = ba² - b³

-------------------------------------------------

y(a² + b²) = 2a²b - ba² + b³

{\ }⇒ y(a² + b²) = a²b + b³

{\ }⇒ y(a² + b²) = b(a² + b²)

{\ }⇒ y = b [ put in -----( 1 )]

we get,

{⇒ ay + xb = 2ab

}⇒ a(b) + xb = 2ab

}⇒ xb = 2ab - ab

}⇒ x = ab/b

⇒ x = a

hope it haelp u dear