Solve y=f/n(v-t)

$$y = \frac { f } { n ( v - t ) }$$

Solve for n

$$\left\{\begin{matrix}n=-\frac{f}{y\left(t-v\right)}\text{, }&f\neq 0\text{ and }v\neq t\text{ and }y\neq 0\\n\neq 0\text{, }&y=0\text{ and }f=0\text{ and }v\neq t\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by n\left(-t+v\right).

$$yn\left(-t+v\right)=f$$

Use the distributive property to multiply yn by -t+v.

$$-ynt+ynv=f$$

Combine all terms containing n.

$$\left(-yt+yv\right)n=f$$

The equation is in standard form.

$$\left(vy-ty\right)n=f$$

Divide both sides by -yt+yv.

$$\frac{\left(vy-ty\right)n}{vy-ty}=\frac{f}{vy-ty}$$

Dividing by -yt+yv undoes the multiplication by -yt+yv.

$$n=\frac{f}{vy-ty}$$

Divide f by -yt+yv.

$$n=\frac{f}{y\left(v-t\right)}$$

Variable n cannot be equal to 0.

$$n=\frac{f}{y\left(v-t\right)}\text{, }n\neq 0$$

Solve for f

$$f=ny\left(v-t\right)$$

$$n\neq 0\text{ and }v\neq t$$