2x = -4y
5x - 4y = 0
divide the first equation by 2
x = 2y substitute 2y into the second equation for x
5(2y) - 4y = 0 simplify
10y - 4y = 0
6y = 0 divide both sides by 6
y = 0
And x = 2y = 2(0) = 0
So....the solution is (x, y) = (0, 0)
Here's a graph of the solution: https://www.desmos.com/calculator/ctjdqulg47
Note that the lines only intersect at the origin, i.e., (0,0)