Question

P= s-c/s        solve for c

Answer 1

$p= s - \frac{c}{s}$
$p= \frac{ s^{2} }{s} - \frac{c}{s}$
$p= \frac{s^2-c}{s}$
$ps= s^2-c$
$ps + c = s^2$
$c =s^2-ps$

Answer 2

Answer:

c = s (s-P)

Step-by-step explanation:

To solve the expression for c, we have to do different operations in order to leave c on one side and the rest of the variables on the other.

First we have:

$P= s-\frac{c}{s}$

The next step would make the minimum common multiple for the denominator: $P= \frac{s}{1} -\frac{c}{s} \\P=\frac{s^{2}-c }{s}$

Now we're going to cross multiply:

$P=\frac{s^{2}-c }{s}\\Ps=s^{2} -c$

Now we're going to move the s² to the other side:

$\\Ps-s^{2} =-c$

We have -c instead of c, so we're going to change the signs of all terms:

$-Ps+s^{2} =c$

Now we solved for c but we can still make one more step because both terms on the left side have an s.

$-Ps+s^{2} =c\\s(-P+s) = c$

Thus c = s (s-P)