Question

What is S=3(w-s) solve for s? Please go into detail about the steps.

Answer 1

Answer:

$s= -\frac{S}{3} + w$

Step-by-step explanation:

Given: $S = 3(w-s)$

To solve for $s$, we have to isolate it on one side of the equal sign. Let's start by getting rid of that coefficient of $3$ from $(w-s)$. To do that, divide by $3.$

$\frac{S}{3}= w-s$

To isolate $s,$ all we need to do is put it on one side of the equal sign. Let's subtract $w$ from both sides to get $s$ all by itself.

$\frac{S}{3} - w= -s$

We aren't done yet, we solved for $-s,$ not $s$. All we need to do is divide everything by $-1$ to cancel out the negative sign on $s$. What that basically does is change ALL the signs.

$-\frac{S}{3} + w= s$

$s= -\frac{S}{3} + w$