Question

99x+101y_499
101x+99y_501

Answer 1

Given:

99x+101y = 499 --> (1)

101x+99y = 501--> (2) 

multiply equation 1) by  101 

then we can get  (99x+101y = 499) * 101

--> 9999x + 10201y = 50399 --> (3)

Now let assume 2nd equation,  

multiply 2nd equation by 99 

then we can get (101x+99y = 501)* 99

9999x+9801y=49599 -->  (4)

by solving equation 3 & 4 we will get 

400* y = 800

y = 2 

Now put y = 2 in equation (1)  

then we  will get the value of x 

99x+101*2=499

99x+202=499

99x=297

x=3