rearrange the equation c = ax + by for the quantity of interest y. make sure to show your step

Answer 1

To rearrange the equation c = ax + by for the quantity of interest y, we need to isolate y on one side of the equation.

Given: c = ax + by

Let's start by subtracting ax from both sides of the equation:

c - ax = ax + by - ax

This simplifies to:

c - ax = by

Now, let's divide both sides of the equation by b to isolate y:

(c - ax) / b = by / b

Simplifying further:

(c - ax) / b = y

Therefore, the rearranged equation for the quantity of interest y is:

y = (c - ax) / b