Solve 3=u*v-N

$$3 = u \cdot v - N$$

Solve for N

$$N=uv-3$$

Steps for Solving Linear Equation

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

$$uv-N=3$$

Subtract uv from both sides.

$$-N=3-uv$$

Divide both sides by -1.

$$\frac{-N}{-1}=\frac{3-uv}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$N=\frac{3-uv}{-1}$$

Divide -uv+3 by -1.

$$N=uv-3$$

Solve for u

$$\left\{\begin{matrix}u=\frac{N+3}{v}\text{, }&v\neq 0\\u\in \mathrm{R}\text{, }&N=-3\text{ and }v=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$uv-N=3$$

Add N to both sides.

$$uv=3+N$$

The equation is in standard form.

$$vu=N+3$$

Divide both sides by v.

$$\frac{vu}{v}=\frac{N+3}{v}$$

Dividing by v undoes the multiplication by v.

$$u=\frac{N+3}{v}$$