Question

How do you solve the following system: `y = 3x – 12, 2x – 4y = 8`?

Answer 1

`x=4`, `y=0`

Explanation:

`color(white)xxy=3x-12,2x-4y=8`

`color(white)xx2x-4y=8<=>y=(x-4)/2`

`=>color(red)(3x-12)=(x-4)/2`
`=>color(blue)(x-4)=(x-4)/2`

`=>x-4=0`
`=>x-4color(green)(+4)=0color(green)(+4)`
`=>x=4`

`=>y=(color(red)4-4)/2`
`=>y=0`