Question

How do you solve for y in `Ax - By = C`?

Answer 1

`y=(-C+Ax)/B`

Explanation:

We begin with `Ax-By=C`. Our goal is to isolate `y`, and the step I would do is to subtract `Ax` on both sides. If we do that, we have `-By=C-Ax`. From here we need to undo the `-B*y`, so we should divide by `-B`. Now, I like to break this up into two steps just so I don't make any silly mistakes. So first I divide by `-1` on both sides, which gives us `By=(C-Ax)/-1` or `Bx=-C+Ax`. Now I just divide by `B` on both sides, which leaves us with `y=(-C+Ax)/B`.