Question

How do you solve the following system?: `2x +3y =-5 , -2x -12y = 4`

Answer 1

`2x+3y=-5.................(i)`
`-2x-12y=4................(ii)`

Add `(i)` and `(ii)`

`implies 2x-2x+3y-12y=-5+4`
`implies -9y=-1`

`impliesy=1/9`

Put `y=1/9` in `(i)`

`implies 2x+3*1/9=-5`

`implies 2x+1/3=-5`

`implies 6x+1=-15`
`implies 6x=-16`

`implies x=-8/3`