Question
Thu June 28, 2012 By: Runal

2x/a+y/b=2 x/a-y/b=4

Expert Reply
Thu June 28, 2012
Answer :Given : 2 (x/a) + (y/b) = 2    and   (x/a) - (y/b ) =4
 
               To find x,y by method of substitution .
 
        let 2 (x/a) + (y/b) = 2    and   (x/a) - (y/b ) =4
 
now from eq (2) we get ,
 => (x/a) - (y/b ) = 4
  => (x/a) = 4+ (y/b ) ..............................(3)
 
now putting the value obtained from eq (3) in eq(1) , we get 
=> 2( 4 + (y/b) ) + (y / b) =2                   {using method of substitution}
=>3( y /b ) = - 6
=> y =  -2 b
 
Now putting the value of y obtained above in eq(2) we get 
=> ( x / a) -(-2b) /b) = 4 
=> (x/a) + 2 =4 
=> x = 2a
 
 
Answer : by method of substitution , we get the required values x= 2a , y= -2b 
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