Answer :
Let the number of rabbits in the pet store is x
And the number of hamsters in the pet store is y.
Now, we have been given that pet store has 26 rabbits and hamsters. Thus, we have the linear equation
[tex]x+y=26...........(1)[/tex]
Now, number of rabbits is 2 more than double the number of hamsters. Hence, we have
[tex]x=2+2y[/tex]
Substituting this value of x in equation 1, we get
[tex]2+2y+y=26\\ 3y=24\\ y=8[/tex]
Thus, there are 8 hamsters in the pet store.