Question

a=h(b+c) solve for c

Answer 1

Answer:

$c=\frac{a}{h}-b$

Explanation:

Given the equation:

$a=h(b+c)$

we want to make c the subject of formula;

let us divide both sides by h;

$\begin{gathered} \frac{a}{h}=\frac{h(b+c)}{h} \\ \frac{a}{h}=b+c \end{gathered}$

Then let us subtract b from both sides;

$\begin{gathered} \frac{a}{h}-b=b-b+c \\ \frac{a}{h}-b=c \\ c=\frac{a}{h}-b \end{gathered}$

Therefore, making c the subject of formula we have;

$c=\frac{a}{h}-b$