What's the solution?

x+2y=-2

2x-4y=0

1. Let's solve for x

. x + 2y = - 2

Step 1: Add - 2y to both sides.

x + 2y + - 2y = - 2 + - 2y

x = - 2y - 2

Answer: x = - 2y - 2

2. Let's solve for x.

2x - 4y = 0

Step 1: Add 4y to both sides.

2x - 4y + 4y = 0 + 4y

2x = 4y

Step 2: Divide both sides by 2.

2x / 2 = 4y / 2

x = 2y

Answer: x = 2 y

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