Question

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

Answer 1

101x+99y=501 - (1)

99x+101y=499 - (2)

(1)+(2),

200x+200y=1000

(÷ by 200)

x+y=5 - (3)

(1)-(2),

2x-2y=2

(÷ by 2)

x-y=1 - (4)

(3)+(4),

2x=6

x=3

(3)-(4)

2y=4

y=2

Therefore, x=3 and y=2.