Question

Solve the following simultaneous equations.
101x + 99y = 501, 99x + 101y = 499

Answer 1

101x + 99y = 501 .............(I)
99x + 101y = 499 .............(II)
Adding equations (I) and (II) and dividing by 200
                   x + y = 5                           .............(III)
Subtracting (II) from (I) and dividing by 2
                    x - y = 1                           ............(IV)
Solving equations (III) and (IV),
                       x = 3
                      y = 2