Explanation:

65x -33y = 97 => equation 1
33x – 65y = 1 => equation 2
We have 2 equations and 2 variables, solve them to evaluate the values of x & y. Multiplying equation 1 by 33 & equation 2 by 65.
(65x -33y = 97) *33 i.e. 2145x – 1089y = 3201 => equation 1
(33x – 65y = 1) *65 i.e. 2145x – 4225y = 65 => equation 2
Subtracting equation 2 from equation 1:
(2145x – 1089y) – (2145x – 4225y) = 3201 – 65
=> 3136y = 3136
=> y = 1
 Substitute value of y in any one equation to evaluate the value of x:
33x – 65*1 = 1 Or, 33x = 66 or x = 2
Thus, xy = 1*2 = 2