If 29x + 37y = 103 and 37x + 29y = 95 then

We have,

29x + 37y = 103 …(i)

37x + 29y = 95 …(ii)

Now, adding both the equations we get:

66x + 66y = 198

66 (x + y) = 198

x + y = 3 …(iii)

Now, subtracting (i) from (ii) we get:

8x – 8y = – 8

x – y = – 1 …(iv)

Now adding (iii) and (iv), we get

2x = 2

∴ x = 1

Putting the value of x in (iii), we get

1 + y = 3

∴ y = 3 – 1 = 2

Hence, option A is correct