Here, 3x + 5y = 12----(1)
5x + 4y = 14----(2)
Now, on multiplication of equations (1) and (2) with 5 and 3, we obtain:
15x + 25y = 60----(3)
15x + 12y = 42----(4)
Now, on Subtracting equation (4) from (30, we obtain the following result
13y = 18
=> y = (18 / 13)
Now, on substituting the value of y in equation (1), we get:
3x + 5(18/13) = 12
=> 3x = 12 - (90/13)
=> x = 66 / (13*3)
=> x = 22 / 13