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

1 Answer
Rachel
Feb 16, 2016

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.

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