Question

the solution of 99x+101y=499 and 101x+99y=501 is​

Answer 1

99x+101y=499...1

101x+99y=501...2

(1)+(2)

200x+200y=1000

200(x+y)=1000

x+y=5...3

(2)-(1)

2x-2y=2

2(x-y)=2

x-y=1...4

(3)+(4)

2x=6

x=3..in (3)

3+y=5

y=2

so,x=3 and y=2