Best to get your unknowns on to one side of the equation:
3x-5y=2; 5x-3y=14. To eliminate x or y we need first to multiply each equation by 3 or 5 so that we end up with a matching x or y coefficient in each equation.
That is, 15x or 15y. Let's multiply by 3 and 5:
The y terms have the same coefficient, so let's subtract the first equation from the second.
16x=64, so x=4 and 20-3y=14, by substituting x. So 3y=6 and y=2.
Check out these values by putting them into the original equations.