To find a solution of the given equation, just use values of x and y in order to the left side of the equation matches with the right side.
You can notice that if you use x = 1 and y = 2, you obtain:
4x + 2y = 8
4(1) + 2(2) = 8
4 + 4 = 8
As you can notice the left hand side of the equation is equal to the right side. Then, the values of x and y are solutions to the equation.