Question

x(y+z)/3p=s solve for z

Answer 1

The given equation is

$\frac{x(y+z)}{3p}=s$

First, we multiply the equation by 3p.

$\begin{gathered} \frac{x(y+z)}{3p}\cdot3p=s\cdot3p \\ x(y+z)=s\cdot3p \end{gathered}$

Second, we divide the equation by x.

$\begin{gathered} \frac{x(y+z)}{x}=\frac{3sp}{x} \\ y+z=\frac{3sp}{x} \end{gathered}$

Then, we subtract y on each side.-

$\begin{gathered} y+z-y=\frac{3sp}{x}-y \\ z=\frac{3sp}{x}-y \end{gathered}$

Therefore, the final expression is

$z=\frac{3sp}{x}-y$