Question

If 12x + 17y = 53 and 17x + 12y = 63 then find the value of ( x + y)

Answer 1

The given pair of equations is
12x + 17y = 53                    ……..(i)
17x + 12y = 63                   …….(ii)
Adding (i) and (ii), we get
29x + 29y = 116
⇒ x + y = 4                 (Dividing by 4)
Hence, the value of x + y is 4.