Question

linear equation:ax+by=a-b&bx-ay=a+b find x&y

Answer 1

Hi,

ax + by = a - b -------( 1 )

bx - ay = a + b ----- ( 2 )

Do [ a × ( 1 ) + b × ( 2 ) ] we get,

a² x + aby = a² - ab

b² x - ab y = ab + b²
__________________
( a² + b² ) x = ( a² + b² )

x = 1

Put x = 1 in equation ( 1 ) , we get

a + by = a - b

by = -b

y = ( - b ) / b

y = - 1

Therefore ,

x = 1 ;

y = - 1 :

I hope this helps you.

:)