Step-by-step explanation:

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Answer:

a=3,b=2

Step-by-step explanation:

ax-by=3

when x=5 and y=6

=> a*5-b*6=3

=> 5a-6b=3                      ------------- equation 1

when x=6 and y=5

=> 6a-5b=8                      --------------equation 2

Multiplying equation 1 and equation 2 with 5 and 6 respectively we get,  

25a-30b=15                    ----------equation 3

36a-30b=48                   ----------equation 4

Subtracting equation 3 from 4 we get,

(36a-30b)-(25a-30b)= 48-15

=> 36a-30b-25a+30b=33

=> 11a=33

=>a=3

putting the value of "a" in equation 1 we get,

5a-6b=3

=> 5*3-6b=3

=> 15-6b=3

=> -6b=-12

=> -b=-2

=> b=2

Therefore the value of a is 3 and b is 2.