The given pair of equations are:

Let’s, multiply LHS and RHS by to make the coefficients as an integer

……………………….. (i)

…………………………… (ii)

From (ii)

……………………………… (iii)

Now, substituting A in equation (i) we get,

⇒

⇒

⇒

⇒

Now, putting the value of B in the equation (iii) we get,

⇒

⇒

∴

Thus, the value of A and B is found to be and respectively.