Question

How do you solve the following system?: `x +7y =53, x -9y = -56`

Answer 1

`x=85/16` and `y=109/16`

Explanation:

`x+7y=53...................(i)`
`x-9y=-56...................(ii)`

Subtract `(ii)` from `(i)`

`implies 16y=109`
`implies y=109/16`

Put `y=109/16` in `(i)`
`implies x+7(109/16)=53`
`implies x+763/16=53`
`implies x=53-763/16=(848-763)/16=85/16`
`implies x=85/16`