Here, 3*x** *+ 5*y* = 12_{----(1)
} 5*x* + 4*y* = 14_{----(2)}

Now, on multiplication of equations (1) and (2) with 5 and 3, we obtain:

15*x* + 25*y* = 60_{----(3) }

15*x* + 12*y* = 42_{----(4) }

Now, on Subtracting equation (4) from (30, we obtain the following result

13*y* = 18

=> * * *y* = (18 / 13)

Now, on substituting the value of *y* in equation (1), we get:

3*x* + 5(18/13) = 12

=> 3*x* = 12 - (90/13)

=> *x* = 66 / (13*3)

=> * x * = 22 / 13