Question

How do you solve the following system: `x-5y=-9, -x+y=5`?

Answer 1

`x-5y=-9` `.............(i)`
`-x+y=5` `............(ii)`
Add `(i)` and `(ii)`
`implies -4y=-4`
`implies y=1`
Put `y=1` in `(i)`
`implies x-5(1)=-9`
`implies x=-9+5=-4`
`implies x=-4`