Question

How do you solve for y in `6x-3y=9`?

Answer 1

`y=2x-3`

Explanation:

As we have two variables `x` and `y` here

so we can solve for `y` only in terms of `x`.

As `6x-3y=9`, adding `3y-9` to both sides, we get

`6x-3y+3y-9=9+3y-9`

or `6x-cancel(3y)+cancel(3y)-9=cancel9+3y-cancel9`

or `6x-9=3y`

or `3y=6x-9` - now multipying both sides by `1/3`, we get

`1/3xx3y=1/3xx6x-1/3xx9`

or `y=2x-3`