Solve frac{my-N_{x}}{N}=p

$$\frac { m y - N _ { x } } { N } = p$$

Solve for N

$$\left\{\begin{matrix}N=\frac{my-N_{x}}{p}\text{, }&\left(N_{x}\neq 0\text{ or }y\neq 0\right)\text{ and }\left(y=0\text{ or }m\neq \frac{N_{x}}{y}\right)\text{ and }\left(m\neq 0\text{ or }N_{x}\neq 0\right)\text{ and }p\neq 0\text{ and }N_{x}\neq my\\N\neq 0\text{, }&p=0\text{ and }N_{x}=my\end{matrix}\right.$$

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.

$$my-N_{x}=pN$$

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

$$pN=my-N_{x}$$

Divide both sides by p.

$$\frac{pN}{p}=\frac{my-N_{x}}{p}$$

Dividing by p undoes the multiplication by p.

$$N=\frac{my-N_{x}}{p}$$

Variable N cannot be equal to 0.

$$N=\frac{my-N_{x}}{p}\text{, }N\neq 0$$

Solve for N_x

$$N_{x}=my-Np$$

$$N\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by N.

$$my-N_{x}=pN$$

Subtract my from both sides.

$$-N_{x}=pN-my$$

The equation is in standard form.

$$-N_{x}=Np-my$$

Divide both sides by -1.

$$\frac{-N_{x}}{-1}=\frac{Np-my}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$N_{x}=\frac{Np-my}{-1}$$

Divide pN-my by -1.

$$N_{x}=my-Np$$