Question

solve --------- 99x +101 =499, 101x +99y =501

Answer 1

101x+99y = 501
+99x+101y=499
...........................
200x+200y=1000
So, dividing this equation by 200 we get,
x+y=5 .......... (1)

101x+99y=501
-99x-101y=499
...........................
2x-2y=2
So,dividing the equation by 2 we get,
x-y=1 .......(2)

x+y=5
x-y=1
..............
2x = 6
x=3
x-y= 1
3-y=1
So, y=2