Math, asked by rajmth9133, 1 year ago

x/a+y/b=2

ax-by=a2-b2

solve by elimination method

Answers

Answered by rohitkumargupta
878

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

Answered by sahilshenoy3
326

Hope u get the steps.

Thank you.

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