Solve the simultaneous equations :
101x + 99y = 501 ; 99x + 101y = 499

2 thoughts on “Solve the simultaneous equations :<br /> 101x + 99y = 501 ; 99x + 101y = 499<br />”

1. Answer:

   use hit and trial method

   Reply

2. Step-by-step explanation:

   99x + 101y = 499 … (1)
   

   
   

   101x + 99y = 501 … (2)
   

   
   

   Adding equations (1) and (2), we get.
   

   
   

   200x + 200y = 1000
   

   
   

   Or, x + y = 5 … (3)
   

   
   

   Subtracting (1) from (2), we get,
   

   
   

   2x – 2y = 2
   

   
   

   Or, x – y = 1 … (4)
   

   
   

   Adding (3) and (4), we get,
   

   
   

   2x = 6 x = 3
   

   
   

   Putting the value of x in (3), we get,
   

   
   

   y = 2

   Reply