Question

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

Answer 1

The given equation is

`(x(y+z))/(3p)=s`

First, we multiply the equation by 3p.

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

Second, we divide the equation by x.

`\begin{gathered} (x(y+z))/(x)=(3sp)/(x) \\ y+z=(3sp)/(x) \end{gathered}`

Then, we subtract y on each side.-

`\begin{gathered} y+z-y=(3sp)/(x)-y \\ z=(3sp)/(x)-y \end{gathered}`

Therefore, the final expression is

`z=(3sp)/(x)-y`