Solve ex+am=4u

$$e x + a m = 4 u$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=-\frac{ex-4u}{m}\text{, }&m\neq 0\\a\in \mathrm{C}\text{, }&x=\frac{4u}{e}\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract ex from both sides.

$$am=4u-ex$$

Reorder the terms.

$$am=-ex+4u$$

The equation is in standard form.

$$ma=4u-ex$$

Divide both sides by m.

$$\frac{ma}{m}=\frac{4u-ex}{m}$$

Dividing by m undoes the multiplication by m.

$$a=\frac{4u-ex}{m}$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=-\frac{ex-4u}{a}\text{, }&a\neq 0\\m\in \mathrm{C}\text{, }&x=\frac{4u}{e}\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract ex from both sides.

$$am=4u-ex$$

Divide both sides by a.

$$\frac{am}{a}=\frac{4u-ex}{a}$$

Dividing by a undoes the multiplication by a.

$$m=\frac{4u-ex}{a}$$

Solve for a

$$\left\{\begin{matrix}a=-\frac{ex-4u}{m}\text{, }&m\neq 0\\a\in \mathrm{R}\text{, }&x=\frac{4u}{e}\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract ex from both sides.

$$am=4u-ex$$

Reorder the terms.

$$am=-ex+4u$$

The equation is in standard form.

$$ma=4u-ex$$

Divide both sides by m.

$$\frac{ma}{m}=\frac{4u-ex}{m}$$

Dividing by m undoes the multiplication by m.

$$a=\frac{4u-ex}{m}$$

Solve for m

$$\left\{\begin{matrix}m=-\frac{ex-4u}{a}\text{, }&a\neq 0\\m\in \mathrm{R}\text{, }&x=\frac{4u}{e}\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract ex from both sides.

$$am=4u-ex$$

Divide both sides by a.

$$\frac{am}{a}=\frac{4u-ex}{a}$$

Dividing by a undoes the multiplication by a.

$$m=\frac{4u-ex}{a}$$