x/a+y/b=2 and ax-by=a°2-b°2
Answers
Answered by
16
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,
THANKS
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,
THANKS
Answered by
3
hope it may help you
Attachments:
Similar questions