Question

x/a+y/b=2
ax-by=a2-b2
solve by elimination method

Answer 1

HELLO DEAR,

x/a + y/b = 2
⇒ 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

I HOPE ITS HELP YOU DEAR,
THAN