Solve 10x(n)=delta(r

$$10 x ( n ) = \delta ( r$$

Solve for n

$$\left\{\begin{matrix}n=\frac{r\delta }{10x}\text{, }&x\neq 0\\n\in \mathrm{R}\text{, }&\left(\delta =0\text{ or }r=0\right)\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$10xn=r\delta$$

Divide both sides by 10x.

$$\frac{10xn}{10x}=\frac{r\delta }{10x}$$

Dividing by 10x undoes the multiplication by 10x.

$$n=\frac{r\delta }{10x}$$

Solve for r

$$\left\{\begin{matrix}r=\frac{10nx}{\delta }\text{, }&\delta \neq 0\\r\in \mathrm{R}\text{, }&\left(x=0\text{ or }n=0\right)\text{ and }\delta =0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\delta r=10xn$$

The equation is in standard form.

$$\delta r=10nx$$

Divide both sides by \delta .

$$\frac{\delta r}{\delta }=\frac{10nx}{\delta }$$

Dividing by \delta undoes the multiplication by \delta .

$$r=\frac{10nx}{\delta }$$