Question

Solve the following equations:-
ax/b - by/a = a + b
ax - by = 2ab

Answer 1

Hi,

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

ax - by = 2ab ----( 2 )

Divide each term with ' b ' in

equation ( 2 ) ,we get

ax/b - y = 2a ---( 3 )

Subtract equation ( 3 ) from equation ( 1 ),

we get

- by/a + y = a + b -2a

( -b/a + 1 )y = b - a

[( -b + a )/a]y = ( b - a )

[ ( a - b )/a ] y = -( a - b )

y = [ -( a - b ) ]×[a/( a - b ) ]

y = - a

Substitute y = -a in equation ( 2 ),

we get

ax - b ( - a ) = 2ab

ax = 2ab - ab

ax = ab

x = ab/a

x = b

Therefore ,

x = b , y = -a

I hope this helps you.

: )