I'm assuming that you want to solve for both variables. In this scenario, the subtraction method will likely be your best choice.
Let's start off by multiplying all numbers in the second equation by -2:
4x + 5y = 3
-4x -6y = -2
_________
(Add these two equations)
0x -y = 1
y = -1
Now that we know the value for 'y,' we can input it into one of the equations to solve for x:
4x + 5y = 3
4x + 5(-1) = 3
4x - 5 = 3
4x = 8
x = 2
x = 2, y = -1
Let me know if you'd like me to explain anything I did here.