1.

Solve: +ax _ by = a2-b2

Answer»

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

ax - by = a² - b²---------( 2 )

from-----( 1 ) &-------( 2 )multiply ( 1 ) by "a" ( 2 ) by "b"

abx + a²y = 2a²babx - 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

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