2x-by= 1 (2)

A misread the number represented by A, and the results are x= 1, y= 1.

Substitution into (2) gives:

2-b= 1

b= 1

B misread the number represented by B, and the results are x=- 1, y= 1/3.

Substitute (1) to get

-a+ 1/3=2

a=-5/3

-5x/3+y=2 (3)

2x-y= 1 (4)

Solution:

x=9

y= 17