Question

solve the following 99x+101y=499 ; 101x+99y=501​

Answer 1

Step-by-step explanation:

99x+101y=499......i

101x+99y=501......ii

so, ii - i

we get,

2x - 2y =2

so, x-y =1

x=1 + y........... iii

and

i + ii

so we get,

200x+200y =1000

on dividing by 200 in both side ,

we get,

x + y = 5........iv

now,

put value of x from eq iii in eq iv,

(1 + y )+ y = 5

1 + y + y = 5

2y = 5 - 1

2y = 4

y = 4/2

y = 2

Answer 2

Answer:

Hope it helps you dear....