Solve the following two variable Linear equation ,

Now, let’s multiply LHS and RHS by for both (i) and (ii) for making integral coefficients and constants.

(i) ⇒

……………………….. (iii)

(ii) ⇒

…………………………… (iv)

From (iii)

……………………………… (v)

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

⇒ [After taking LCM]

⇒

⇒

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

⇒

⇒

∴

Thus, the value of A and B so obtained are  and respectively.