Question

x/a+y/b=2

ax-by=a2-b2

solve by elimination method

Answer 1

HELLO DEAR,

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

${\Rightarrow }$y(a² + b²) = a²b + b³

${\Rightarrow }$y(a² + b²) = b(a² + b²)

${\Rightarrow }$y = b [ put in -----( 1 )]

we get,

${\Rightarrow }$ay + xb = 2ab

${\Rightarrow }$a(b) + xb = 2ab

${\Rightarrow }$xb = 2ab - ab

${\Rightarrow }$x = ab/b

${\Rightarrow }$x = a


I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

Hope u get the steps.

Thank you.