Question

I need help solving a handful of problems 1) ax-by=c 2) ax-b+y=c 3)x/a-by=c 4) ax- y/b=c 5) a-x+by=c 6) a-x+by=c 7) -a+x-by=c

Answer 1

Given the linear equation;

$ax-by=c$

We are asked to express the equation in terms of y

To do this, we have to rearrange the equation in such a way that "y" becomes the subject of the formula.

$\begin{gathered} ax-by=c\mleft\lbrace subtract\text{ ax from both s}ides\mright? \\ ax-ax-by=c-ax \\ -by=c-ax \\ \text{Divide both sides by -b} \\ \frac{-by}{-b}=\frac{c-ax}{-b} \\ \therefore y=\frac{c-ax}{-b} \end{gathered}$

Therefore the answer is

ANSWER:

$y=\frac{c-ax}{-b}$