Answer:
[tex]s= -\frac{S}{3} + w[/tex]
Step-by-step explanation:
Given: [tex]S = 3(w-s)[/tex]
To solve for [tex]s[/tex], we have to isolate it on one side of the equal sign. Let's start by getting rid of that coefficient of [tex]3[/tex] from [tex](w-s)[/tex]. To do that, divide by [tex]3.[/tex]
[tex]\frac{S}{3}= w-s[/tex]
To isolate [tex]s,[/tex] all we need to do is put it on one side of the equal sign. Let's subtract [tex]w[/tex] from both sides to get [tex]s[/tex] all by itself.
[tex]\frac{S}{3} - w= -s[/tex]
We aren't done yet, we solved for [tex]-s,[/tex] not [tex]s[/tex]. All we need to do is divide everything by [tex]-1[/tex] to cancel out the negative sign on [tex]s[/tex]. What that basically does is change ALL the signs.
[tex]-\frac{S}{3} + w= s[/tex]
[tex]s= -\frac{S}{3} + w[/tex]
