Question

$\frac{x}{y} + \frac{y}{b} = 2 \: \: and \: ax - by = {a}^{2} - {b}^{2} \\ Solve$

$hrutuja14 \: \: \: here$
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Answer 1

Answer:

Hello dear,

x/a + y/b = 2 ay + xb = 2ab-------( 1 )

ax - by = a² - b²-----( 2 )

from------( 1 ) and ------ ( 2 )

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

abx + a²y = 2a²b

abx - b²y = ba² - b - 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