x+2y=-2
2x-4y=0
multiply the first equation by 2
2x+4y=-4
add this to the first equation
2x+2x-4y+4y=0-4
add like terms
4x=-4
divide both sides by 4
x=-1
subtitue into 1st equation
-1+2y=-2
add 1 to both sides
2y=-1
divide both sides by 2
y=-1/2
another way is
since 2x-4y=0
so 2x must equal 4y
subtitue and get answer