If 12x + 17y = 53 and 17x + 12y = 63 then find the value of (x + y).
We have the given pair of equations are:
12x + 17y = 53 …(i)
17x + 12y = 63 …(ii)
Now, adding (i) and (ii) we get:
29x + 29y = 116
29 (x + y) = 116
(x + y) = 4
∴ The value of (x + y) is 4