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